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157331430 = 233517151227
BaseRepresentation
bin10010110000010…
…10111111100110
3101222001021011000
421120022333212
5310234101210
623340054130
73620203134
oct1130127746
9358037130
10157331430
118089a483
1244834346
1326797c29
1416c76754
15dc2bac0
hex960afe6

157331430 has 128 divisors (see below), whose sum is σ = 449141760. Its totient is φ = 39052800.

The previous prime is 157331429. The next prime is 157331443. The reversal of 157331430 is 34133751.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 157331394 and 157331403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692977 + ... + 693203.

It is an arithmetic number, because the mean of its divisors is an integer number (3508920).

Almost surely, 2157331430 is an apocalyptic number.

157331430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157331430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224570880).

157331430 is an abundant number, since it is smaller than the sum of its proper divisors (291810330).

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

157331430 is a wasteful number, since it uses less digits than its factorization.

157331430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 157331430 is about 12543.1826104861. The cubic root of 157331430 is about 539.8484142418.

The spelling of 157331430 in words is "one hundred fifty-seven million, three hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 151 153 170 227 255 270 302 306 453 454 459 510 681 755 765 906 918 1135 1359 1362 1510 1530 2043 2265 2270 2295 2567 2718 3405 3859 4077 4086 4530 4590 5134 6129 6795 6810 7701 7718 8154 10215 11577 12258 12835 13590 15402 19295 20385 20430 23103 23154 25670 30645 34277 34731 38505 38590 40770 46206 57885 61290 68554 69309 69462 77010 102831 104193 115515 115770 138618 171385 173655 205662 208386 231030 308493 342770 346545 347310 514155 520965 582709 616986 693090 925479 1028310 1041930 1165418 1542465 1748127 1850958 2913545 3084930 3496254 4627395 5244381 5827090 8740635 9254790 10488762 15733143 17481270 26221905 31466286 52443810 78665715 157331430