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152968440 = 23351274737
BaseRepresentation
bin10010001111000…
…01110011111000
3101122211121020210
421013201303320
5303124442230
623102351120
73535132062
oct1107416370
9348747223
10152968440
117938a4a9
124328b4a0
13258cb091
141645c732
15d668eb0
hex91e1cf8

152968440 has 32 divisors (see below), whose sum is σ = 458905680. Its totient is φ = 40791552.

The previous prime is 152968433. The next prime is 152968447. The reversal of 152968440 is 44869251.

152968440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152968433) and next prime (152968447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152968447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637249 + ... + 637488.

Almost surely, 2152968440 is an apocalyptic number.

152968440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152968440 is an abundant number, since it is smaller than the sum of its proper divisors (305937240).

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

152968440 is a wasteful number, since it uses less digits than its factorization.

152968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274751 (or 1274747 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 152968440 is about 12368.0410736705. The cubic root of 152968440 is about 534.8113464168.

The spelling of 152968440 in words is "one hundred fifty-two million, nine hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1274737 2549474 3824211 5098948 6373685 7648422 10197896 12747370 15296844 19121055 25494740 30593688 38242110 50989480 76484220 152968440