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152407660 = 22523418081
BaseRepresentation
bin10010001010110…
…00111001101100
3101121210010000011
421011120321230
5303004021120
623042343004
73530305126
oct1105307154
9347703004
10152407660
1179037149
124305aa64
1325762a62
1416354216
15d5a7c5a
hex9158e6c

152407660 has 48 divisors (see below), whose sum is σ = 342159552. Its totient is φ = 56883200.

The previous prime is 152407643. The next prime is 152407663. The reversal of 152407660 is 66704251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152407663) 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 15 ways as a sum of consecutive naturals, for example, 14820 + ... + 22900.

It is an arithmetic number, because the mean of its divisors is an integer number (7128324).

Almost surely, 2152407660 is an apocalyptic number.

152407660 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 152407660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171079776).

152407660 is an abundant number, since it is smaller than the sum of its proper divisors (189751892).

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

152407660 is a wasteful number, since it uses less digits than its factorization.

152407660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 152407660 is about 12345.3497317816. The cubic root of 152407660 is about 534.1570093840.

The spelling of 152407660 in words is "one hundred fifty-two million, four hundred seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 8081 9430 16162 18860 32324 40405 80810 161620 185863 331321 371726 662642 743452 929315 1325284 1656605 1858630 3313210 3717260 6626420 7620383 15240766 30481532 38101915 76203830 152407660