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150065356 = 227431131103
BaseRepresentation
bin10001111000111…
…01000011001100
3101110101002222011
420330131003030
5301404042411
622520231004
73501351220
oct1074350314
9343332864
10150065356
1177787361
124230b464
132512288c
1415d04780
15d293c21
hex8f1d0cc

150065356 has 48 divisors (see below), whose sum is σ = 310109184. Its totient is φ = 62205696.

The previous prime is 150065351. The next prime is 150065381. The reversal of 150065356 is 653560051.

It is a super-2 number, since 2×1500653562 = 45039222142813472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150065351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135501 + ... + 136603.

It is an arithmetic number, because the mean of its divisors is an integer number (6460608).

Almost surely, 2150065356 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 150065356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155054592).

150065356 is an abundant number, since it is smaller than the sum of its proper divisors (160043828).

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

150065356 is a wasteful number, since it uses less digits than its factorization.

150065356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 150065356 is about 12250.1165708739. The cubic root of 150065356 is about 531.4064412903.

The spelling of 150065356 in words is "one hundred fifty million, sixty-five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 86 113 172 226 301 452 602 791 1103 1204 1582 2206 3164 4412 4859 7721 9718 15442 19436 30884 34013 47429 68026 94858 124639 136052 189716 249278 332003 498556 664006 872473 1328012 1744946 3489892 5359477 10718954 21437908 37516339 75032678 150065356