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137426600 = 23526731021
BaseRepresentation
bin10000011000011…
…11011010101000
3100120120222212002
420030033122220
5240140122400
621345310132
73256051433
oct1014173250
9316528762
10137426600
1170634703
123a035348
1322618c1c
141437481a
15c0e8ed5
hex830f6a8

137426600 has 48 divisors (see below), whose sum is σ = 320305020. Its totient is φ = 54835200.

The previous prime is 137426599. The next prime is 137426647. The reversal of 137426600 is 6624731.

It can be written as a sum of positive squares in 6 ways, for example, as 43375396 + 94051204 = 6586^2 + 9698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134090 + ... + 135110.

Almost surely, 2137426600 is an apocalyptic number.

137426600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137426600 is an abundant number, since it is smaller than the sum of its proper divisors (182878420).

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

137426600 is a wasteful number, since it uses less digits than its factorization.

137426600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 137426600 is about 11722.9091952467. The cubic root of 137426600 is about 516.0481997320.

The spelling of 137426600 in words is "one hundred thirty-seven million, four hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 673 1021 1346 2042 2692 3365 4084 5105 5384 6730 8168 10210 13460 16825 20420 25525 26920 33650 40840 51050 67300 102100 134600 204200 687133 1374266 2748532 3435665 5497064 6871330 13742660 17178325 27485320 34356650 68713300 137426600