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137233420 = 22547672179
BaseRepresentation
bin10000010111000…
…00010000001100
3100120020011212021
420023200100030
5240112432140
621341215524
73254315302
oct1013402014
9316204767
10137233420
1170512555
1239b615a4
132257c00c
1414324272
15c0abb4a
hex82e040c

137233420 has 48 divisors (see below), whose sum is σ = 298851840. Its totient is φ = 52899264.

The previous prime is 137233403. The next prime is 137233427. The reversal of 137233420 is 24332731.

It is not an unprimeable number, because it can be changed into a prime (137233427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61891 + ... + 64069.

It is an arithmetic number, because the mean of its divisors is an integer number (6226080).

Almost surely, 2137233420 is an apocalyptic number.

137233420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137233420 is an abundant number, since it is smaller than the sum of its proper divisors (161618420).

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

137233420 is a wasteful number, since it uses less digits than its factorization.

137233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 137233420 is about 11714.6668753320. Note that the first 3 decimals coincide. The cubic root of 137233420 is about 515.8062840740.

The spelling of 137233420 in words is "one hundred thirty-seven million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 67 94 134 188 235 268 335 470 670 940 1340 2179 3149 4358 6298 8716 10895 12596 15745 21790 31490 43580 62980 102413 145993 204826 291986 409652 512065 583972 729965 1024130 1459930 2048260 2919860 6861671 13723342 27446684 34308355 68616710 137233420