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150031152 = 24322937971
BaseRepresentation
bin10001111000101…
…00101100110000
3101110022101001100
420330110230300
5301401444102
622515404400
73501146415
oct1074245460
9343271040
10150031152
1177763697
12422b3700
132511013b
1415cd610c
15d288a1c
hex8f14b30

150031152 has 120 divisors (see below), whose sum is σ = 446556240. Its totient is φ = 46932480.

The previous prime is 150031121. The next prime is 150031153. The reversal of 150031152 is 251130051.

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

It is not an unprimeable number, because it can be changed into a prime (150031153) 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, 154027 + ... + 154997.

It is an arithmetic number, because the mean of its divisors is an integer number (3721302).

Almost surely, 2150031152 is an apocalyptic number.

150031152 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 150031152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223278120).

150031152 is an abundant number, since it is smaller than the sum of its proper divisors (296525088).

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

150031152 is a wasteful number, since it uses less digits than its factorization.

150031152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1042 counting only the distinct ones).

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

The square root of 150031152 is about 12248.7204229666. The cubic root of 150031152 is about 531.3660642006.

The spelling of 150031152 in words is "one hundred fifty million, thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 37 48 58 72 74 87 111 116 144 148 174 222 232 261 296 333 348 444 464 522 592 666 696 888 971 1044 1073 1332 1392 1776 1942 2088 2146 2664 2913 3219 3884 4176 4292 5328 5826 6438 7768 8584 8739 9657 11652 12876 15536 17168 17478 19314 23304 25752 28159 34956 35927 38628 46608 51504 56318 69912 71854 77256 84477 107781 112636 139824 143708 154512 168954 215562 225272 253431 287416 323343 337908 431124 450544 506862 574832 646686 675816 862248 1013724 1041883 1293372 1351632 1724496 2027448 2083766 2586744 3125649 4054896 4167532 5173488 6251298 8335064 9376947 12502596 16670128 18753894 25005192 37507788 50010384 75015576 150031152