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150157590 = 235112291987
BaseRepresentation
bin10001111001100…
…11100100010110
3101110112210111020
420330303210112
5301420020330
622522222010
73502214142
oct1074634426
9343483436
10150157590
117783a690
1242354906
132515585b
1415d2a222
15d2b1210
hex8f33916

150157590 has 64 divisors (see below), whose sum is σ = 395055360. Its totient is φ = 36224640.

The previous prime is 150157573. The next prime is 150157597. The reversal of 150157590 is 95751051.

150157590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150157597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74577 + ... + 76563.

It is an arithmetic number, because the mean of its divisors is an integer number (6172740).

Almost surely, 2150157590 is an apocalyptic number.

150157590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150157590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197527680).

150157590 is an abundant number, since it is smaller than the sum of its proper divisors (244897770).

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

150157590 is a wasteful number, since it uses less digits than its factorization.

150157590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237.

The product of its (nonzero) digits is 7875, while the sum is 33.

The square root of 150157590 is about 12253.8806098313. The cubic root of 150157590 is about 531.5152909825.

The spelling of 150157590 in words is "one hundred fifty million, one hundred fifty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 458 687 1145 1374 1987 2290 2519 3435 3974 5038 5961 6870 7557 9935 11922 12595 15114 19870 21857 25190 29805 37785 43714 59610 65571 75570 109285 131142 218570 327855 455023 655710 910046 1365069 2275115 2730138 4550230 5005253 6825345 10010506 13650690 15015759 25026265 30031518 50052530 75078795 150157590