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157940480 = 285163757
BaseRepresentation
bin10010110100111…
…11101100000000
3102000012012121102
421122133230000
5310413043410
623401113532
73625320605
oct1132375400
9360165542
10157940480
1181176025
1244a888a8
132694c209
1416d946ac
15dcec2a5
hex969fb00

157940480 has 72 divisors (see below), whose sum is σ = 381140592. Its totient is φ = 62705664.

The previous prime is 157940459. The next prime is 157940501. The reversal of 157940480 is 84049751.

It is an interprime number because it is at equal distance from previous prime (157940459) and next prime (157940501).

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 7 ways as a sum of consecutive naturals, for example, 208262 + ... + 209018.

Almost surely, 2157940480 is an apocalyptic number.

157940480 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 157940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190570296).

157940480 is an abundant number, since it is smaller than the sum of its proper divisors (223200112).

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

157940480 is an equidigital number, since it uses as much as digits as its factorization.

157940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 157940480 is about 12567.4372884849. The cubic root of 157940480 is about 540.5441246033.

The spelling of 157940480 in words is "one hundred fifty-seven million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 640 652 757 815 1280 1304 1514 1630 2608 3028 3260 3785 5216 6056 6520 7570 10432 12112 13040 15140 20864 24224 26080 30280 41728 48448 52160 60560 96896 104320 121120 123391 193792 208640 242240 246782 484480 493564 616955 968960 987128 1233910 1974256 2467820 3948512 4935640 7897024 9871280 15794048 19742560 31588096 39485120 78970240 157940480