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157923720 = 233251034259
BaseRepresentation
bin10010110100110…
…11100110001000
3102000011100121200
421122123212020
5310412024340
623400504200
73625221003
oct1132334610
9360140550
10157923720
1181164479
1244a7b060
13269446b6
1416d8c53a
15dce7330
hex969b988

157923720 has 96 divisors (see below), whose sum is σ = 518356800. Its totient is φ = 41694336.

The previous prime is 157923697. The next prime is 157923721. The reversal of 157923720 is 27329751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157923721) 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 23 ways as a sum of consecutive naturals, for example, 34951 + ... + 39209.

It is an arithmetic number, because the mean of its divisors is an integer number (5399550).

Almost surely, 2157923720 is an apocalyptic number.

157923720 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 157923720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259178400).

157923720 is an abundant number, since it is smaller than the sum of its proper divisors (360433080).

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

157923720 is a wasteful number, since it uses less digits than its factorization.

157923720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157923720 is about 12566.7704681831. The cubic root of 157923720 is about 540.5250038138.

The spelling of 157923720 in words is "one hundred fifty-seven million, nine hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4259 4635 6180 7416 8518 9270 12360 12777 17036 18540 21295 25554 34072 37080 38331 42590 51108 63885 76662 85180 102216 127770 153324 170360 191655 255540 306648 383310 438677 511080 766620 877354 1316031 1533240 1754708 2193385 2632062 3509416 3948093 4386770 5264124 6580155 7896186 8773540 10528248 13160310 15792372 17547080 19740465 26320620 31584744 39480930 52641240 78961860 157923720