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159901152 = 25323139521
BaseRepresentation
bin10011000011111…
…10010111100000
3102010212211010220
421201332113200
5311413314102
623511123040
73651065055
oct1141762740
9363784126
10159901152
1182295114
1245673480
1327187788
141734502c
15e0881bc
hex987e5e0

159901152 has 96 divisors (see below), whose sum is σ = 441987840. Its totient is φ = 50519040.

The previous prime is 159901141. The next prime is 159901153. The reversal of 159901152 is 251109951.

It is a happy number.

159901152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159901153) 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, 306652 + ... + 307172.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2159901152 is an apocalyptic number.

159901152 is a gapful number since it is divisible by the number (12) 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 159901152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920).

159901152 is an abundant number, since it is smaller than the sum of its proper divisors (282086688).

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

159901152 is a wasteful number, since it uses less digits than its factorization.

159901152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 33.

The square root of 159901152 is about 12645.2027267261. The cubic root of 159901152 is about 542.7717024746.

The spelling of 159901152 in words is "one hundred fifty-nine million, nine hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 139 184 276 278 368 417 521 552 556 736 834 1042 1104 1112 1563 1668 2084 2208 2224 3126 3197 3336 4168 4448 6252 6394 6672 8336 9591 11983 12504 12788 13344 16672 19182 23966 25008 25576 35949 38364 47932 50016 51152 71898 72419 76728 95864 102304 143796 144838 153456 191728 217257 287592 289676 306912 383456 434514 575184 579352 869028 1150368 1158704 1665637 1738056 2317408 3331274 3476112 4996911 6662548 6952224 9993822 13325096 19987644 26650192 39975288 53300384 79950576 159901152