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152324160 = 26351011571
BaseRepresentation
bin10010001010001…
…00100001000000
3101121121212110120
421011010201000
5302443333120
623040500240
73526506522
oct1105044100
9347555416
10152324160
1178a8a43a
124301a680
1325733a51
1416331a12
15d58d140
hex9144840

152324160 has 112 divisors (see below), whose sum is σ = 488728512. Its totient is φ = 40192000.

The previous prime is 152324129. The next prime is 152324171. The reversal of 152324160 is 61423251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152324160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96175 + ... + 97745.

Almost surely, 2152324160 is an apocalyptic number.

152324160 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 152324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244364256).

152324160 is an abundant number, since it is smaller than the sum of its proper divisors (336404352).

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

152324160 is a wasteful number, since it uses less digits than its factorization.

152324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 152324160 is about 12341.9674282507. The cubic root of 152324160 is about 534.0594415448.

Subtracting from 152324160 its reverse (61423251), we obtain a palindrome (90900909).

The spelling of 152324160 in words is "one hundred fifty-two million, three hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1571 1616 2020 2424 3030 3142 3232 4040 4713 4848 6060 6284 6464 7855 8080 9426 9696 12120 12568 15710 16160 18852 19392 23565 24240 25136 31420 32320 37704 47130 48480 50272 62840 75408 94260 96960 100544 125680 150816 158671 188520 251360 301632 317342 377040 476013 502720 634684 754080 793355 952026 1269368 1508160 1586710 1904052 2380065 2538736 3173420 3808104 4760130 5077472 6346840 7616208 9520260 10154944 12693680 15232416 19040520 25387360 30464832 38081040 50774720 76162080 152324160