Search a number
-
+
552712680 = 233351339367
BaseRepresentation
bin100000111100011…
…011100111101000
31102112000201021000
4200330123213220
52112443301210
6130502315000
716460660142
oct4074334750
91375021230
10552712680
11263aa0243
12135128a60
138a680130
1453597c92
15337cbac0
hex20f1b9e8

552712680 has 128 divisors (see below), whose sum is σ = 1984147200. Its totient is φ = 136048896.

The previous prime is 552712661. The next prime is 552712739. The reversal of 552712680 is 86217255.

It is a happy number.

552712680 is a `hidden beast` number, since 5 + 527 + 126 + 8 + 0 = 666.

552712680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5644 + ... + 33723.

It is an arithmetic number, because the mean of its divisors is an integer number (15501150).

Almost surely, 2552712680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992073600).

552712680 is an abundant number, since it is smaller than the sum of its proper divisors (1431434520).

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

552712680 is a wasteful number, since it uses less digits than its factorization.

552712680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39400 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 552712680 is about 23509.8421942811. The cubic root of 552712680 is about 820.6660660026. Note that the first 3 decimals are identical.

The spelling of 552712680 in words is "five hundred fifty-two million, seven hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 39367 78734 118101 157468 196835 236202 314936 354303 393670 472404 511771 590505 708606 787340 944808 1023542 1062909 1181010 1417212 1535313 1574680 1771515 2047084 2125818 2362020 2558855 2834424 3070626 3543030 4094168 4251636 4605939 4724040 5117710 5314545 6141252 7086060 7676565 8503272 9211878 10235420 10629090 12282504 13817817 14172120 15353130 18423756 20470840 21258180 23029695 27635634 30706260 36847512 42516360 46059390 55271268 61412520 69089085 92118780 110542536 138178170 184237560 276356340 552712680