Search a number
-
+
157764180 = 223571492521
BaseRepresentation
bin10010110011101…
…00101001010100
3101222212020202210
421121310221110
5310341423210
623353233420
73623654610
oct1131645124
9358766683
10157764180
1181065622
1244a02870
13268b9bb2
1416d4a340
15dcb4e20
hex9674a54

157764180 has 96 divisors (see below), whose sum is σ = 508435200. Its totient is φ = 35804160.

The previous prime is 157764161. The next prime is 157764193. The reversal of 157764180 is 81467751.

It is a congruent number.

It is an unprimeable number.

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, 61320 + ... + 63840.

It is an arithmetic number, because the mean of its divisors is an integer number (5296200).

Almost surely, 2157764180 is an apocalyptic number.

157764180 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 157764180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254217600).

157764180 is an abundant number, since it is smaller than the sum of its proper divisors (350671020).

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

157764180 is a wasteful number, since it uses less digits than its factorization.

157764180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 157764180 is about 12560.4211712824. The cubic root of 157764180 is about 540.3429234720.

The spelling of 157764180 in words is "one hundred fifty-seven million, seven hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 447 596 745 894 1043 1490 1788 2086 2235 2521 2980 3129 4172 4470 5042 5215 6258 7563 8940 10084 10430 12516 12605 15126 15645 17647 20860 25210 30252 31290 35294 37815 50420 52941 62580 70588 75630 88235 105882 151260 176470 211764 264705 352940 375629 529410 751258 1058820 1126887 1502516 1878145 2253774 2629403 3756290 4507548 5258806 5634435 7512580 7888209 10517612 11268870 13147015 15776418 22537740 26294030 31552836 39441045 52588060 78882090 157764180