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152036164 = 22723475023
BaseRepresentation
bin10010000111111…
…10001101000100
3101121002020102001
421003332031010
5302410124124
623030355044
73524200060
oct1103761504
9347066361
10152036164
1178903025
1242abba84
1325662937
1416298aa0
15d532b44
hex90fe344

152036164 has 48 divisors (see below), whose sum is σ = 324108288. Its totient is φ = 60987168.

The previous prime is 152036123. The next prime is 152036177. The reversal of 152036164 is 461630251.

It is a super-2 number, since 2×1520361642 = 46229990327669792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 27757 + ... + 32779.

It is an arithmetic number, because the mean of its divisors is an integer number (6752256).

Almost surely, 2152036164 is an apocalyptic number.

152036164 is a gapful number since it is divisible by the number (14) 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 152036164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162054144).

152036164 is an abundant number, since it is smaller than the sum of its proper divisors (172072124).

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

152036164 is a wasteful number, since it uses less digits than its factorization.

152036164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 152036164 is about 12330.2945625804. The cubic root of 152036164 is about 533.7226509835.

The spelling of 152036164 in words is "one hundred fifty-two million, thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 47 92 94 161 188 322 329 644 658 1081 1316 2162 4324 5023 7567 10046 15134 20092 30268 35161 70322 115529 140644 231058 236081 462116 472162 808703 944324 1617406 1652567 3234812 3305134 5429863 6610268 10859726 21719452 38009041 76018082 152036164