Search a number
-
+
6032628900 = 2234528632
BaseRepresentation
bin1011001111001001…
…01001110010100100
3120120102110022010000
411213210221302210
544323323111100
62434340101300
7302331333234
oct54744516244
916512408100
106032628900
112616297421
121204394830
13751a814cc
144132a3cc4
15254930900
hex167929ca4

6032628900 has 135 divisors (see below), whose sum is σ = 19578085681. Its totient is φ = 1606836960.

The previous prime is 6032628893. The next prime is 6032628941. The reversal of 6032628900 is 98262306.

The square root of 6032628900 is 77670.

It is a perfect power (a square), and thus also a powerful number.

6032628900 is a `hidden beast` number, since 603 + 26 + 28 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2171746404 + 3860882496 = 46602^2 + 62136^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×60326289002 = 72785222890230420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6989869 + ... + 6990731.

Almost surely, 26032628900 is an apocalyptic number.

6032628900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6032628900 is the 77670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6032628900

6032628900 is an abundant number, since it is smaller than the sum of its proper divisors (13545456781).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6032628900 is an equidigital number, since it uses as much as digits as its factorization.

6032628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 6032628900 is about 1820.4085646380.

Multiplying 6032628900 by its sum of digits (36), we get a square (217174640400 = 4660202).

6032628900 divided by its sum of digits (36) gives a square (167573025 = 129452).

The spelling of 6032628900 in words is "six billion, thirty-two million, six hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 863 900 1350 1620 1726 2025 2589 2700 3452 4050 4315 5178 7767 8100 8630 10356 12945 15534 17260 21575 23301 25890 31068 38835 43150 46602 51780 64725 69903 77670 86300 93204 116505 129450 139806 155340 194175 233010 258900 279612 349515 388350 466020 582525 699030 744769 776700 1165050 1398060 1489538 1747575 2234307 2330100 2979076 3495150 3723845 4468614 6702921 6990300 7447690 8937228 11171535 13405842 14895380 18619225 20108763 22343070 26811684 33514605 37238450 40217526 44686140 55857675 60326289 67029210 74476900 80435052 100543815 111715350 120652578 134058420 167573025 201087630 223430700 241305156 301631445 335146050 402175260 502719075 603262890 670292100 1005438150 1206525780 1508157225 2010876300 3016314450 6032628900