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137468940 = 22357327307
BaseRepresentation
bin10000011000110…
…01110000001100
3100120200010221020
420030121300030
5240143001230
621350234140
73256316040
oct1014316014
9316603836
10137468940
11706634a4
123a055950
132263228b
1414386020
15c106810
hex8319c0c

137468940 has 48 divisors (see below), whose sum is σ = 439901952. Its totient is φ = 31421376.

The previous prime is 137468939. The next prime is 137468963. The reversal of 137468940 is 49864731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 137468892 and 137468901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163234 + ... + 164073.

It is an arithmetic number, because the mean of its divisors is an integer number (9164624).

Almost surely, 2137468940 is an apocalyptic number.

137468940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137468940 is an abundant number, since it is smaller than the sum of its proper divisors (302433012).

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

137468940 is a wasteful number, since it uses less digits than its factorization.

137468940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327326 (or 327324 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 137468940 is about 11724.7149219075. The cubic root of 137468940 is about 516.1011910192.

The spelling of 137468940 in words is "one hundred thirty-seven million, four hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 327307 654614 981921 1309228 1636535 1963842 2291149 3273070 3927684 4582298 4909605 6546140 6873447 9164596 9819210 11455745 13746894 19638420 22911490 27493788 34367235 45822980 68734470 137468940