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157153260 = 223511317681
BaseRepresentation
bin10010101110111…
…11011111101100
3101221201012202010
421113133133230
5310212401020
623332201220
73615531525
oct1127373754
9357635663
10157153260
1180788630
1244769210
1326734ac4
1416c2b84c
15dbe3de0
hex95df7ec

157153260 has 96 divisors (see below), whose sum is σ = 495581184. Its totient is φ = 36864000.

The previous prime is 157153223. The next prime is 157153301. The reversal of 157153260 is 62351751.

157153260 is digitally balanced in base 3, 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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16620 + ... + 24300.

It is an arithmetic number, because the mean of its divisors is an integer number (5162304).

Almost surely, 2157153260 is an apocalyptic number.

157153260 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 157153260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247790592).

157153260 is an abundant number, since it is smaller than the sum of its proper divisors (338427924).

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

157153260 is a wasteful number, since it uses less digits than its factorization.

157153260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 157153260 is about 12536.0783341522. The cubic root of 157153260 is about 539.6445534642.

The spelling of 157153260 in words is "one hundred fifty-seven million, one hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 7681 10230 15362 20460 23043 30724 38405 46086 76810 84491 92172 115215 153620 168982 230430 238111 253473 337964 422455 460860 476222 506946 714333 844910 952444 1013892 1190555 1267365 1428666 1689820 2381110 2534730 2619221 2857332 3571665 4762220 5069460 5238442 7143330 7857663 10476884 13096105 14286660 15715326 26192210 31430652 39288315 52384420 78576630 157153260