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150268716 = 22331328233
BaseRepresentation
bin10001111010011…
…10101100101100
3101110202102221000
420331032230230
5301432044331
622524440300
73503156133
oct1075165454
9343672830
10150268716
1177906124
12423a9090
1325194300
1415d5891a
15d2d40e6
hex8f4eb2c

150268716 has 72 divisors (see below), whose sum is σ = 421910160. Its totient is φ = 46230912.

The previous prime is 150268711. The next prime is 150268721. The reversal of 150268716 is 617862051.

It is an interprime number because it is at equal distance from previous prime (150268711) and next prime (150268721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150268711) 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, 14136 + ... + 22368.

Almost surely, 2150268716 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 150268716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210955080).

150268716 is an abundant number, since it is smaller than the sum of its proper divisors (271641444).

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

150268716 is a wasteful number, since it uses less digits than its factorization.

150268716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150268716 is about 12258.4140899221. The cubic root of 150268716 is about 531.6463768272.

The spelling of 150268716 in words is "one hundred fifty million, two hundred sixty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 8233 9126 16466 18252 24699 32932 49398 74097 98796 107029 148194 214058 222291 296388 321087 428116 444582 642174 889164 963261 1284348 1391377 1926522 2782754 2889783 3853044 4174131 5565508 5779566 8348262 11559132 12522393 16696524 25044786 37567179 50089572 75134358 150268716