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150151032 = 233237157359
BaseRepresentation
bin10001111001100…
…01111101111000
3101110112110111100
420330301331320
5301414313112
622522131400
73502156053
oct1074617570
9343473440
10150151032
1177835769
1242350b60
1325152885
1415d27a9a
15d2ae2dc
hex8f31f78

150151032 has 96 divisors (see below), whose sum is σ = 421480800. Its totient is φ = 48252672.

The previous prime is 150151019. The next prime is 150151037. The reversal of 150151032 is 230151051.

150151032 is a `hidden beast` number, since 150 + 1 + 510 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150150996 and 150151014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150151037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418069 + ... + 418427.

It is an arithmetic number, because the mean of its divisors is an integer number (4390425).

Almost surely, 2150151032 is an apocalyptic number.

150151032 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 150151032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210740400).

150151032 is an abundant number, since it is smaller than the sum of its proper divisors (271329768).

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

150151032 is a wasteful number, since it uses less digits than its factorization.

150151032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150151032 is about 12253.6130182081. The cubic root of 150151032 is about 531.5075530497.

The spelling of 150151032 in words is "one hundred fifty million, one hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 157 222 296 314 333 359 444 471 628 666 718 888 942 1077 1256 1332 1413 1436 1884 2154 2664 2826 2872 3231 3768 4308 5652 5809 6462 8616 11304 11618 12924 13283 17427 23236 25848 26566 34854 39849 46472 52281 53132 56363 69708 79698 104562 106264 112726 119547 139416 159396 169089 209124 225452 239094 318792 338178 418248 450904 478188 507267 676356 956376 1014534 1352712 2029068 2085431 4058136 4170862 6256293 8341724 12512586 16683448 18768879 25025172 37537758 50050344 75075516 150151032