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152770020 = 223513732683
BaseRepresentation
bin10010001101100…
…01010111100100
3101122110112001220
421012301113210
5303102120040
623054220340
73533344434
oct1106612744
9348415056
10152770020
1179264417
12431b46b0
132585b980
141640a2c4
15d62a2d0
hex91b15e4

152770020 has 96 divisors (see below), whose sum is σ = 467144832. Its totient is φ = 37075968.

The previous prime is 152769997. The next prime is 152770027. The reversal of 152770020 is 20077251.

It is not an unprimeable number, because it can be changed into a prime (152770027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55599 + ... + 58281.

It is an arithmetic number, because the mean of its divisors is an integer number (4866092).

Almost surely, 2152770020 is an apocalyptic number.

152770020 is a gapful number since it is divisible by the number (10) 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 152770020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233572416).

152770020 is an abundant number, since it is smaller than the sum of its proper divisors (314374812).

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

152770020 is a wasteful number, since it uses less digits than its factorization.

152770020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 152770020 is about 12360.0169902796. The cubic root of 152770020 is about 534.5800063594.

The spelling of 152770020 in words is "one hundred fifty-two million, seven hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 73 78 130 146 156 195 219 260 292 365 390 438 730 780 876 949 1095 1460 1898 2190 2683 2847 3796 4380 4745 5366 5694 8049 9490 10732 11388 13415 14235 16098 18980 26830 28470 32196 34879 40245 53660 56940 69758 80490 104637 139516 160980 174395 195859 209274 348790 391718 418548 523185 587577 697580 783436 979295 1046370 1175154 1958590 2092740 2350308 2546167 2937885 3917180 5092334 5875770 7638501 10184668 11751540 12730835 15277002 25461670 30554004 38192505 50923340 76385010 152770020