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30639180 = 223511133571
BaseRepresentation
bin111010011100…
…0010001001100
32010122122001110
41310320101030
530320423210
63012412020
7521300025
oct164702114
963578043
1030639180
1116327740
12a317010
136469bc0
1440d7c4c
152a53420
hex1d3844c

30639180 has 96 divisors (see below), whose sum is σ = 100816128. Its totient is φ = 6854400.

The previous prime is 30639179. The next prime is 30639181. The reversal of 30639180 is 8193603.

It is an interprime number because it is at equal distance from previous prime (30639179) and next prime (30639181).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30639181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6795 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (1050168).

Almost surely, 230639180 is an apocalyptic number.

30639180 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 30639180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50408064).

30639180 is an abundant number, since it is smaller than the sum of its proper divisors (70176948).

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

30639180 is a wasteful number, since it uses less digits than its factorization.

30639180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 30639180 is about 5535.2669312329. The cubic root of 30639180 is about 312.9145176506.

The spelling of 30639180 in words is "thirty million, six hundred thirty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 3571 4290 7142 8580 10713 14284 17855 21426 35710 39281 42852 46423 53565 71420 78562 92846 107130 117843 139269 157124 185692 196405 214260 232115 235686 278538 392810 464230 471372 510653 557076 589215 696345 785620 928460 1021306 1178430 1392690 1531959 2042612 2356860 2553265 2785380 3063918 5106530 6127836 7659795 10213060 15319590 30639180