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151830952 = 23713261263
BaseRepresentation
bin10010000110011…
…00000110101000
3101120200210220121
421003030012220
5302332042302
623022133024
73522353560
oct1103140650
9346623817
10151830952
1178782929
1242a21174
13255c0400
1416243da0
15d4e1e37
hex90cc1a8

151830952 has 96 divisors (see below), whose sum is σ = 359441280. Its totient is φ = 58855680.

The previous prime is 151830949. The next prime is 151830983. The reversal of 151830952 is 259038151.

151830952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577173 + ... + 577435.

It is an arithmetic number, because the mean of its divisors is an integer number (3744180).

Almost surely, 2151830952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151830952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179720640).

151830952 is an abundant number, since it is smaller than the sum of its proper divisors (207610328).

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

151830952 is a wasteful number, since it uses less digits than its factorization.

151830952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 151830952 is about 12321.9702969939. The cubic root of 151830952 is about 533.4824107565.

The spelling of 151830952 in words is "one hundred fifty-one million, eight hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 169 182 244 263 338 364 427 488 526 676 728 793 854 1052 1183 1352 1586 1708 1841 2104 2366 3172 3416 3419 3682 4732 5551 6344 6838 7364 9464 10309 11102 13676 14728 16043 20618 22204 23933 27352 32086 41236 44408 44447 47866 64172 72163 82472 88894 95732 112301 128344 144326 177788 191464 208559 224602 288652 311129 355576 417118 449204 577304 622258 834236 898408 1244516 1459913 1668472 2489032 2711267 2919826 5422534 5839652 10845068 11679304 18978869 21690136 37957738 75915476 151830952