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157426720 = 25511233889
BaseRepresentation
bin10010110001000…
…10010000100000
3101222020002212021
421120202100200
5310300123340
623342111224
73621051013
oct1130422040
9358202767
10157426720
1180955030
124487b514
13267cc409
1416c9d37a
15dc49e4a
hex9622420

157426720 has 96 divisors (see below), whose sum is σ = 423480960. Its totient is φ = 54743040.

The previous prime is 157426699. The next prime is 157426727. The reversal of 157426720 is 27624751.

It is not an unprimeable number, because it can be changed into a prime (157426727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38536 + ... + 42424.

It is an arithmetic number, because the mean of its divisors is an integer number (4411260).

Almost surely, 2157426720 is an apocalyptic number.

157426720 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 157426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211740480).

157426720 is an abundant number, since it is smaller than the sum of its proper divisors (266054240).

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

157426720 is a wasteful number, since it uses less digits than its factorization.

157426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 157426720 is about 12546.9805132550. The cubic root of 157426720 is about 539.9573811815.

The spelling of 157426720 in words is "one hundred fifty-seven million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 3889 4048 5060 7778 8096 10120 15556 19445 20240 31112 38890 40480 42779 62224 77780 85558 89447 124448 155560 171116 178894 213895 311120 342232 357788 427790 447235 622240 684464 715576 855580 894470 983917 1368928 1431152 1711160 1788940 1967834 2862304 3422320 3577880 3935668 4919585 6844640 7155760 7871336 9839170 14311520 15742672 19678340 31485344 39356680 78713360 157426720