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137362940 = 225111348029
BaseRepresentation
bin10000010111111…
…11110111111100
3100120110202112022
420023333313330
5240131103230
621344055312
73255365021
oct1013776774
9316422468
10137362940
11705a08a0
123a004538
13225c5c60
1414359548
15c0d51e5
hex82ffdfc

137362940 has 48 divisors (see below), whose sum is σ = 338899680. Its totient is φ = 46106880.

The previous prime is 137362933. The next prime is 137362943. The reversal of 137362940 is 49263731.

137362940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137362940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137362943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21155 + ... + 26874.

It is an arithmetic number, because the mean of its divisors is an integer number (7060410).

Almost surely, 2137362940 is an apocalyptic number.

137362940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137362940 is an abundant number, since it is smaller than the sum of its proper divisors (201536740).

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

137362940 is a wasteful number, since it uses less digits than its factorization.

137362940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48062 (or 48060 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 137362940 is about 11720.1936844064. The cubic root of 137362940 is about 515.9685045776.

The spelling of 137362940 in words is "one hundred thirty-seven million, three hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 48029 96058 192116 240145 480290 528319 624377 960580 1056638 1248754 2113276 2497508 2641595 3121885 5283190 6243770 6868147 10566380 12487540 13736294 27472588 34340735 68681470 137362940