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157050320 = 24571072621
BaseRepresentation
bin10010101110001…
…10010111010000
3101221111222112112
421113012113100
5310201102240
623330044452
73614622440
oct1127062720
9357458475
10157050320
1180718259
1244719728
13266c9cab
1416c02120
15dbc3665
hex95c65d0

157050320 has 80 divisors (see below), whose sum is σ = 421365888. Its totient is φ = 53322240.

The previous prime is 157050293. The next prime is 157050329. The reversal of 157050320 is 23050751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157050329) 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 15 ways as a sum of consecutive naturals, for example, 58610 + ... + 61230.

Almost surely, 2157050320 is an apocalyptic number.

157050320 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 157050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210682944).

157050320 is an abundant number, since it is smaller than the sum of its proper divisors (264315568).

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

157050320 is a wasteful number, since it uses less digits than its factorization.

157050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 157050320 is about 12531.9719118740. The cubic root of 157050320 is about 539.5267000517.

The spelling of 157050320 in words is "one hundred fifty-seven million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2621 2996 3745 4280 5242 5992 7490 8560 10484 11984 13105 14980 18347 20968 26210 29960 36694 41936 52420 59920 73388 91735 104840 146776 183470 209680 280447 293552 366940 560894 733880 1121788 1402235 1467760 1963129 2243576 2804470 3926258 4487152 5608940 7852516 9815645 11217880 15705032 19631290 22435760 31410064 39262580 78525160 157050320