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159870144 = 2637216993
BaseRepresentation
bin10011000011101…
…10110011000000
3102010211020121110
421201312303000
5311411321034
623510323320
73650605500
oct1141666300
9363736543
10159870144
1182273895
1245659540
1327176625
1417337a00
15e07dde9
hex9876cc0

159870144 has 84 divisors (see below), whose sum is σ = 492078264. Its totient is φ = 45674496.

The previous prime is 159870133. The next prime is 159870157. The reversal of 159870144 is 441078951.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912 + ... + 17904.

Almost surely, 2159870144 is an apocalyptic number.

159870144 is a gapful number since it is divisible by the number (14) 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 159870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246039132).

159870144 is an abundant number, since it is smaller than the sum of its proper divisors (332208120).

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

159870144 is a wasteful number, since it uses less digits than its factorization.

159870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17022 (or 17005 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 159870144 is about 12643.9765896651. The cubic root of 159870144 is about 542.7366154792.

The spelling of 159870144 in words is "one hundred fifty-nine million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 16993 33986 50979 67972 101958 118951 135944 203916 237902 271888 356853 407832 475804 543776 713706 815664 832657 951608 1087552 1427412 1631328 1665314 1903216 2497971 2854824 3262656 3330628 3806432 4995942 5709648 6661256 7612864 9991884 11419296 13322512 19983768 22838592 26645024 39967536 53290048 79935072 159870144