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150270264 = 2332532743
BaseRepresentation
bin10001111010011…
…11000100111000
3101110202112001100
420331033010320
5301432122024
622524451400
73503163504
oct1075170470
9343675040
10150270264
1177907301
12423a9b60
1325194c21
1415d59304
15d2d47c9
hex8f4f138

150270264 has 72 divisors (see below), whose sum is σ = 415364040. Its totient is φ = 49078848.

The previous prime is 150270203. The next prime is 150270269. The reversal of 150270264 is 462072051.

150270264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150270269) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201877 + ... + 202619.

It is an arithmetic number, because the mean of its divisors is an integer number (5768945).

Almost surely, 2150270264 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 150270264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207682020).

150270264 is an abundant number, since it is smaller than the sum of its proper divisors (265093776).

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

150270264 is a wasteful number, since it uses less digits than its factorization.

150270264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 150270264 is about 12258.4772300641. The cubic root of 150270264 is about 531.6482024141.

The spelling of 150270264 in words is "one hundred fifty million, two hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 743 954 1272 1486 1908 2229 2809 2972 3816 4458 5618 5944 6687 8427 8916 11236 13374 16854 17832 22472 25281 26748 33708 39379 50562 53496 67416 78758 101124 118137 157516 202248 236274 315032 354411 472548 708822 945096 1417644 2087087 2835288 4174174 6261261 8348348 12522522 16696696 18783783 25045044 37567566 50090088 75135132 150270264