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137072440 = 2353426811
BaseRepresentation
bin10000010101110…
…00111100111000
3100112221000001001
420022320330320
5240042304230
621333534344
73253045051
oct1012707470
9315830031
10137072440
117041260a
1239aa43b4
132252396b
14142c1728
15c0790ca
hex82b8f38

137072440 has 16 divisors (see below), whose sum is σ = 308413080. Its totient is φ = 54828960.

The previous prime is 137072437. The next prime is 137072443. The reversal of 137072440 is 44270731.

It is an interprime number because it is at equal distance from previous prime (137072437) and next prime (137072443).

It is a junction number, because it is equal to n+sod(n) for n = 137072399 and 137072408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137072443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1713366 + ... + 1713445.

Almost surely, 2137072440 is an apocalyptic number.

137072440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137072440 is an abundant number, since it is smaller than the sum of its proper divisors (171340640).

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

137072440 is a wasteful number, since it uses less digits than its factorization.

137072440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426822 (or 3426818 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 137072440 is about 11707.7939852049. The cubic root of 137072440 is about 515.6045183906.

The spelling of 137072440 in words is "one hundred thirty-seven million, seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3426811 6853622 13707244 17134055 27414488 34268110 68536220 137072440