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157299840 = 273359103
BaseRepresentation
bin10010110000000…
…11010010000000
3101221222122211000
421120003102000
5310232043330
623335252000
73620012055
oct1130032200
9357878730
10157299840
1180878775
124481a000
1326786739
1416c6902c
15dc22560
hex9603480

157299840 has 128 divisors (see below), whose sum is σ = 557164800. Its totient is φ = 41942016.

The previous prime is 157299817. The next prime is 157299847. The reversal of 157299840 is 48992751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (157299847) 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, 12729 + ... + 21831.

It is an arithmetic number, because the mean of its divisors is an integer number (4352850).

Almost surely, 2157299840 is an apocalyptic number.

157299840 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 157299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278582400).

157299840 is an abundant number, since it is smaller than the sum of its proper divisors (399864960).

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

157299840 is an equidigital number, since it uses as much as digits as its factorization.

157299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 157299840 is about 12541.9232974851. The cubic root of 157299840 is about 539.8122804298.

The spelling of 157299840 in words is "one hundred fifty-seven million, two hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 9103 17280 18206 27309 36412 45515 54618 72824 81927 91030 109236 136545 145648 163854 182060 218472 245781 273090 291296 327708 364120 409635 436944 491562 546180 582592 655416 728240 819270 873888 983124 1092360 1165184 1228905 1310832 1456480 1638540 1747776 1966248 2184720 2457810 2621664 2912960 3277080 3495552 3932496 4369440 4915620 5243328 5825920 6554160 7864992 8738880 9831240 10486656 13108320 15729984 17477760 19662480 26216640 31459968 39324960 52433280 78649920 157299840