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13937640 = 2335196113
BaseRepresentation
bin110101001010…
…101111101000
3222020002211220
4311022233220
512032001030
61214422040
7226316343
oct65125750
928202756
1013937640
11795a612
124801920
132b6cc32
141bcb45a
151354a10
hexd4abe8

13937640 has 64 divisors (see below), whose sum is σ = 44020800. Its totient is φ = 3520512.

The previous prime is 13937617. The next prime is 13937657. The reversal of 13937640 is 4673931.

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 15 ways as a sum of consecutive naturals, for example, 777 + ... + 5336.

It is an arithmetic number, because the mean of its divisors is an integer number (687825).

Almost surely, 213937640 is an apocalyptic number.

13937640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13937640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010400).

13937640 is an abundant number, since it is smaller than the sum of its proper divisors (30083160).

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

13937640 is a wasteful number, since it uses less digits than its factorization.

13937640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13937640 is about 3733.3148809068. The cubic root of 13937640 is about 240.6558450367.

The spelling of 13937640 in words is "thirteen million, nine hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 6113 12226 18339 24452 30565 36678 48904 61130 73356 91695 116147 122260 146712 183390 232294 244520 348441 366780 464588 580735 696882 733560 929176 1161470 1393764 1742205 2322940 2787528 3484410 4645880 6968820 13937640