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152463060 = 2236510457
BaseRepresentation
bin10010001011001…
…10011011010100
3101121212221000000
421011212123110
5303012304220
623043451300
73530625501
oct1105463324
9347787000
10152463060
1179074832
1243086b30
1325782039
141636a4a8
15d5b9390
hex91666d4

152463060 has 84 divisors (see below), whose sum is σ = 480084948. Its totient is φ = 40652928.

The previous prime is 152463041. The next prime is 152463061. The reversal of 152463060 is 60364251.

152463060 is a `hidden beast` number, since 1 + 5 + 24 + 630 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 51581124 = 10044^2 + 7182^2 .

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152463061) 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 27 ways as a sum of consecutive naturals, for example, 9352 + ... + 19808.

It is an arithmetic number, because the mean of its divisors is an integer number (5715297).

Almost surely, 2152463060 is an apocalyptic number.

152463060 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 152463060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240042474).

152463060 is an abundant number, since it is smaller than the sum of its proper divisors (327621888).

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

152463060 is a wasteful number, since it uses less digits than its factorization.

152463060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 152463060 is about 12347.5932877626. The cubic root of 152463060 is about 534.2217233523.

The spelling of 152463060 in words is "one hundred fifty-two million, four hundred sixty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 10457 14580 20914 31371 41828 52285 62742 94113 104570 125484 156855 188226 209140 282339 313710 376452 470565 564678 627420 847017 941130 1129356 1411695 1694034 1882260 2541051 2823390 3388068 4235085 5082102 5646780 7623153 8470170 10164204 12705255 15246306 16940340 25410510 30492612 38115765 50821020 76231530 152463060