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152031640 = 23513727743
BaseRepresentation
bin10010000111111…
…01000110011000
3101121002000012111
421003331012120
5302410003030
623030322104
73524150635
oct1103750630
9347060174
10152031640
11788aa692
1242ab9334
1325660867
141629718c
15d53162a
hex90fd198

152031640 has 32 divisors (see below), whose sum is σ = 344580480. Its totient is φ = 60366592.

The previous prime is 152031637. The next prime is 152031641. The reversal of 152031640 is 46130251.

152031640 = T149 + T150 + ... + T970.

It is a super-2 number, since 2×1520316402 = 46227239122179200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152031641) 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 7 ways as a sum of consecutive naturals, for example, 8392 + ... + 19351.

It is an arithmetic number, because the mean of its divisors is an integer number (10768140).

Almost surely, 2152031640 is an apocalyptic number.

152031640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152031640 is an abundant number, since it is smaller than the sum of its proper divisors (192548840).

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

152031640 is a wasteful number, since it uses less digits than its factorization.

152031640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27891 (or 27887 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 152031640 is about 12330.1111106105. Note that the first 5 decimals coincide. The cubic root of 152031640 is about 533.7173571000.

Adding to 152031640 its reverse (46130251), we get a palindrome (198161891).

The spelling of 152031640 in words is "one hundred fifty-two million, thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 27743 55486 110972 138715 221944 277430 554860 1109720 3800791 7601582 15203164 19003955 30406328 38007910 76015820 152031640