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150960 = 24351737
BaseRepresentation
bin100100110110110000
321200002010
4210312300
514312320
63122520
71166055
oct446660
9250063
10150960
11a3467
1273440
1353934
143d02c
152eae0
hex24db0

150960 has 80 divisors (see below), whose sum is σ = 508896. Its totient is φ = 36864.

The previous prime is 150959. The next prime is 150961. The reversal of 150960 is 69051.

It is an interprime number because it is at equal distance from previous prime (150959) and next prime (150961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062 + ... + 4098.

2150960 is an apocalyptic number.

150960 is a gapful number since it is divisible by the number (10) 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 150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448).

150960 is an abundant number, since it is smaller than the sum of its proper divisors (357936).

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

150960 is a wasteful number, since it uses less digits than its factorization.

150960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 150960 is about 388.5357126443. The cubic root of 150960 is about 53.2460377488.

The spelling of 150960 in words is "one hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 510 555 592 629 680 740 816 888 1020 1110 1258 1360 1480 1776 1887 2040 2220 2516 2960 3145 3774 4080 4440 5032 6290 7548 8880 9435 10064 12580 15096 18870 25160 30192 37740 50320 75480 150960