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152319380 = 22537205837
BaseRepresentation
bin10010001010000…
…11010110010100
3101121121121220112
421011003112110
5302443210010
623040422152
73526456553
oct1105032624
9347547815
10152319380
1178a86894
1243017958
1325731815
141632dd9a
15d58ba05
hex9143594

152319380 has 24 divisors (see below), whose sum is σ = 328517448. Its totient is φ = 59280768.

The previous prime is 152319361. The next prime is 152319383. The reversal of 152319380 is 83913251.

It can be written as a sum of positive squares in 4 ways, for example, as 41396356 + 110923024 = 6434^2 + 10532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152319383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102179 + ... + 103658.

It is an arithmetic number, because the mean of its divisors is an integer number (13688227).

Almost surely, 2152319380 is an apocalyptic number.

152319380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152319380 is an abundant number, since it is smaller than the sum of its proper divisors (176198068).

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

152319380 is a wasteful number, since it uses less digits than its factorization.

152319380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205883 (or 205881 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 152319380 is about 12341.7737785134. The cubic root of 152319380 is about 534.0538551453.

The spelling of 152319380 in words is "one hundred fifty-two million, three hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 205837 411674 823348 1029185 2058370 4116740 7615969 15231938 30463876 38079845 76159690 152319380