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157248270 = 23351075443
BaseRepresentation
bin10010101111101…
…10101100001110
3101221220001002000
421113312230032
5310223421040
623334213130
73616405524
oct1127665416
9357801060
10157248270
1180842a53
12447b41a6
132676911a
1416c54314
15dc12130
hex95f6b0e

157248270 has 64 divisors (see below), whose sum is σ = 423325440. Its totient is φ = 41533344.

The previous prime is 157248269. The next prime is 157248281. The reversal of 157248270 is 72842751.

157248270 is a `hidden beast` number, since 1 + 572 + 4 + 82 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26169 + ... + 31611.

It is an arithmetic number, because the mean of its divisors is an integer number (6614460).

Almost surely, 2157248270 is an apocalyptic number.

157248270 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 157248270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211662720).

157248270 is an abundant number, since it is smaller than the sum of its proper divisors (266077170).

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

157248270 is a wasteful number, since it uses less digits than its factorization.

157248270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 157248270 is about 12539.8672241775. The cubic root of 157248270 is about 539.7532823574.

The spelling of 157248270 in words is "one hundred fifty-seven million, two hundred forty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3210 4815 5443 5778 9630 10886 14445 16329 27215 28890 32658 48987 54430 81645 97974 146961 163290 244935 293922 489870 582401 734805 1164802 1469610 1747203 2912005 3494406 5241609 5824010 8736015 10483218 15724827 17472030 26208045 31449654 52416090 78624135 157248270