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13907840 = 27531701
BaseRepresentation
bin110101000011…
…011110000000
3222011120222012
4311003132000
512030022330
61214032052
7226133432
oct65033600
928146865
1013907840
11793a191
1247a8628
132b5c4bb
141bc0652
15134ac95
hexd43780

13907840 has 64 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 5376000.

The previous prime is 13907837. The next prime is 13907851. The reversal of 13907840 is 4870931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13907797 and 13907806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19490 + ... + 20190.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 213907840 is an apocalyptic number.

13907840 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 13907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

13907840 is an abundant number, since it is smaller than the sum of its proper divisors (20462080).

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

13907840 is an equidigital number, since it uses as much as digits as its factorization.

13907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13907840 is about 3729.3216541350. The cubic root of 13907840 is about 240.4842076239.

The spelling of 13907840 in words is "thirteen million, nine hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 701 992 1240 1402 1984 2480 2804 3505 3968 4960 5608 7010 9920 11216 14020 19840 21731 22432 28040 43462 44864 56080 86924 89728 108655 112160 173848 217310 224320 347696 434620 448640 695392 869240 1390784 1738480 2781568 3476960 6953920 13907840