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157471520 = 2551735689
BaseRepresentation
bin10010110001011…
…01001100100000
3101222022101022112
421120231030200
5310303042040
623343054452
73621325433
oct1130551440
9358271275
10157471520
1180985758
12448a1428
132681691b
1416cb181a
15dc58365
hex962d320

157471520 has 48 divisors (see below), whose sum is σ = 374242680. Its totient is φ = 62613504.

The previous prime is 157471511. The next prime is 157471541. The reversal of 157471520 is 25174751.

It can be written as a sum of positive squares in 4 ways, for example, as 156850576 + 620944 = 12524^2 + 788^2 .

It is a super-2 number, since 2×1574715202 = 49594559222220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24836 + ... + 30524.

Almost surely, 2157471520 is an apocalyptic number.

157471520 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 157471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187121340).

157471520 is an abundant number, since it is smaller than the sum of its proper divisors (216771160).

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

157471520 is a wasteful number, since it uses less digits than its factorization.

157471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 157471520 is about 12548.7656763524. The cubic root of 157471520 is about 540.0085961137.

The spelling of 157471520 in words is "one hundred fifty-seven million, four hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 5536 5689 6920 11378 13840 22756 27680 28445 45512 56890 91024 113780 182048 227560 455120 910240 984197 1968394 3936788 4920985 7873576 9841970 15747152 19683940 31494304 39367880 78735760 157471520