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157257480 = 233517157491
BaseRepresentation
bin10010101111110…
…00111100001000
3101221220111201010
421113320330020
5310224214410
623334323520
73616444422
oct1127707410
9357814633
10157257480
1180849966
12447b95a0
1326770383
1416c57812
15dc14c20
hex95f8f08

157257480 has 128 divisors (see below), whose sum is σ = 503729280. Its totient is φ = 39137280.

The previous prime is 157257473. The next prime is 157257481. The reversal of 157257480 is 84752751.

157257480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157257481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320035 + ... + 320525.

It is an arithmetic number, because the mean of its divisors is an integer number (3935385).

Almost surely, 2157257480 is an apocalyptic number.

157257480 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 157257480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251864640).

157257480 is an abundant number, since it is smaller than the sum of its proper divisors (346471800).

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

157257480 is a wasteful number, since it uses less digits than its factorization.

157257480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 157257480 is about 12540.2344475692. The cubic root of 157257480 is about 539.7638198993.

The spelling of 157257480 in words is "one hundred fifty-seven million, two hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 157 170 204 255 314 340 408 471 491 510 628 680 785 942 982 1020 1256 1473 1570 1884 1964 2040 2355 2455 2669 2946 3140 3768 3928 4710 4910 5338 5892 6280 7365 8007 8347 9420 9820 10676 11784 13345 14730 16014 16694 18840 19640 21352 25041 26690 29460 32028 33388 40035 41735 50082 53380 58920 64056 66776 77087 80070 83470 100164 106760 125205 154174 160140 166940 200328 231261 250410 308348 320280 333880 385435 462522 500820 616696 770870 925044 1001640 1156305 1310479 1541740 1850088 2312610 2620958 3083480 3931437 4625220 5241916 6552395 7862874 9250440 10483832 13104790 15725748 19657185 26209580 31451496 39314370 52419160 78628740 157257480