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150032652 = 223711397409
BaseRepresentation
bin10001111000101…
…01000100001100
3101110022110002220
420330111010030
5301402021102
622515415340
73501153660
oct1074250414
9343273086
10150032652
1177764830
12422b4550
1325110a23
1415cd68a0
15d2891bc
hex8f1510c

150032652 has 96 divisors (see below), whose sum is σ = 438627840. Its totient is φ = 38776320.

The previous prime is 150032651. The next prime is 150032677. The reversal of 150032652 is 256230051.

It is not an unprimeable number, because it can be changed into a prime (150032651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366624 + ... + 367032.

It is an arithmetic number, because the mean of its divisors is an integer number (4569040).

Almost surely, 2150032652 is an apocalyptic number.

150032652 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 150032652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219313920).

150032652 is an abundant number, since it is smaller than the sum of its proper divisors (288595188).

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

150032652 is a wasteful number, since it uses less digits than its factorization.

150032652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 150032652 is about 12248.7816536993. The cubic root of 150032652 is about 531.3678350471.

The spelling of 150032652 in words is "one hundred fifty million, thirty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 397 409 462 794 818 924 1191 1227 1588 1636 2382 2454 2779 2863 4367 4499 4764 4908 5558 5726 8337 8589 8734 8998 11116 11452 13101 13497 16674 17178 17468 17996 26202 26994 30569 31493 33348 34356 52404 53988 61138 62986 91707 94479 122276 125972 162373 183414 188958 324746 366828 377916 487119 649492 974238 1136611 1786103 1948476 2273222 3409833 3572206 4546444 5358309 6819666 7144412 10716618 12502721 13639332 21433236 25005442 37508163 50010884 75016326 150032652