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152316820 = 22524131601
BaseRepresentation
bin10010001010000…
…10101110010100
3101121121111101201
421011002232110
5302443114240
623040402244
73526446235
oct1105025624
9347544351
10152316820
1178a84977
1243016384
13257305c6
141632d08c
15d58ad9a
hex9142b94

152316820 has 24 divisors (see below), whose sum is σ = 321202728. Its totient is φ = 60672000.

The previous prime is 152316811. The next prime is 152316823. The reversal of 152316820 is 28613251.

It can be written as a sum of positive squares in 4 ways, for example, as 64032004 + 88284816 = 8002^2 + 9396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152316823) 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, 10981 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (13383447).

Almost surely, 2152316820 is an apocalyptic number.

152316820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152316820 is an abundant number, since it is smaller than the sum of its proper divisors (168885908).

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

152316820 is a wasteful number, since it uses less digits than its factorization.

152316820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31851 (or 31849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 152316820 is about 12341.6700652707. The cubic root of 152316820 is about 534.0508632180.

The spelling of 152316820 in words is "one hundred fifty-two million, three hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 31601 63202 126404 158005 316010 632020 7615841 15231682 30463364 38079205 76158410 152316820