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137320506 = 2327628917
BaseRepresentation
bin10000010111101…
…01100000111010
3100120101121022200
420023311200322
5240123224011
621343131030
73255130221
oct1013654072
9316347280
10137320506
1170571a24
1239ba3a76
13225ac84b
1414347cb8
15c0c7856
hex82f583a

137320506 has 12 divisors (see below), whose sum is σ = 297527802. Its totient is φ = 45773496.

The previous prime is 137320487. The next prime is 137320529. The reversal of 137320506 is 605023731.

It is a happy number.

137320506 is a `hidden beast` number, since 137 + 3 + 20 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89586225 + 47734281 = 9465^2 + 6909^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137320506.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3814441 + ... + 3814476.

Almost surely, 2137320506 is an apocalyptic number.

137320506 is an abundant number, since it is smaller than the sum of its proper divisors (160207296).

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

137320506 is a wasteful number, since it uses less digits than its factorization.

137320506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628925 (or 7628922 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137320506 is about 11718.3832502611. The cubic root of 137320506 is about 515.9153683085.

The spelling of 137320506 in words is "one hundred thirty-seven million, three hundred twenty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 7628917 15257834 22886751 45773502 68660253 137320506