Search a number
-
+
30111900 = 223527131103
BaseRepresentation
bin111001011011…
…1100010011100
32002122211202120
41302313202130
530202040100
62553222540
7513642540
oct162674234
962584676
1030111900
1115aa7575
12a101a50
136313bc0
143ddba20
15299c0a0
hex1cb789c

30111900 has 144 divisors (see below), whose sum is σ = 107326464. Its totient is φ = 6347520.

The previous prime is 30111871. The next prime is 30111923. The reversal of 30111900 is 911103.

It is a super-2 number, since 2×301119002 = 1813453043220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30111900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26749 + ... + 27851.

Almost surely, 230111900 is an apocalyptic number.

30111900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30111900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53663232).

30111900 is an abundant number, since it is smaller than the sum of its proper divisors (77214564).

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

30111900 is a wasteful number, since it uses less digits than its factorization.

30111900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 30111900 is about 5487.4310929614. The cubic root of 30111900 is about 311.1091038230.

The spelling of 30111900 in words is "thirty million, one hundred eleven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1103 1300 1365 1820 1950 2100 2206 2275 2730 3309 3900 4412 4550 5460 5515 6618 6825 7721 9100 11030 13236 13650 14339 15442 16545 22060 23163 27300 27575 28678 30884 33090 38605 43017 46326 55150 57356 66180 71695 77210 82725 86034 92652 100373 110300 115815 143390 154420 165450 172068 193025 200746 215085 231630 286780 301119 330900 358475 386050 401492 430170 463260 501865 579075 602238 716950 772100 860340 1003730 1075425 1158150 1204476 1433900 1505595 2007460 2150850 2316300 2509325 3011190 4301700 5018650 6022380 7527975 10037300 15055950 30111900