Search a number
-
+
157271520 = 2535746807
BaseRepresentation
bin10010101111111…
…00010111100000
3101221221012222010
421113330113200
5310230142040
623334512520
73616533360
oct1127742740
9357835863
10157271520
118085946a
1244805740
1326776893
1416c5c9a0
15dc18e80
hex95fc5e0

157271520 has 96 divisors (see below), whose sum is σ = 566189568. Its totient is φ = 35947008.

The previous prime is 157271473. The next prime is 157271537. The reversal of 157271520 is 25172751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1572715202 = 49468662006220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20044 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (5897808).

Almost surely, 2157271520 is an apocalyptic number.

157271520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157271520 is an abundant number, since it is smaller than the sum of its proper divisors (408918048).

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

157271520 is a wasteful number, since it uses less digits than its factorization.

157271520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46832 (or 46824 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 157271520 is about 12540.7942332214. The cubic root of 157271520 is about 539.7798828522.

The spelling of 157271520 in words is "one hundred fifty-seven million, two hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 46807 93614 140421 187228 234035 280842 327649 374456 468070 561684 655298 702105 748912 936140 982947 1123368 1310596 1404210 1497824 1638245 1872280 1965894 2246736 2621192 2808420 3276490 3744560 3931788 4493472 4914735 5242384 5616840 6552980 7489120 7863576 9829470 10484768 11233680 13105960 15727152 19658940 22467360 26211920 31454304 39317880 52423840 78635760 157271520