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157332480 = 2103510243
BaseRepresentation
bin10010110000010…
…11010000000000
3101222001022120220
421120023100000
5310234114410
623340103040
73620206164
oct1130132000
9358038526
10157332480
11808a0248
1244834a80
1326798556
1416c76ca4
15dc2c070
hex960b400

157332480 has 88 divisors (see below), whose sum is σ = 503267232. Its totient is φ = 41951232.

The previous prime is 157332449. The next prime is 157332517. The reversal of 157332480 is 84233751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10239 + ... + 20481.

Almost surely, 2157332480 is an apocalyptic number.

157332480 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 157332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251633616).

157332480 is an abundant number, since it is smaller than the sum of its proper divisors (345934752).

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

157332480 is a wasteful number, since it uses less digits than its factorization.

157332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 157332480 is about 12543.2244658222. The cubic root of 157332480 is about 539.8496151876.

The spelling of 157332480 in words is "one hundred fifty-seven million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 10243 15360 20486 30729 40972 51215 61458 81944 102430 122916 153645 163888 204860 245832 307290 327776 409720 491664 614580 655552 819440 983328 1229160 1311104 1638880 1966656 2458320 2622208 3277760 3933312 4916640 5244416 6555520 7866624 9833280 10488832 13111040 15733248 19666560 26222080 31466496 39333120 52444160 78666240 157332480