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13913340 = 22357157211
BaseRepresentation
bin110101000100…
…110011111100
3222011212111220
4311010303330
512030211330
61214113340
7226155450
oct65046374
928155456
1013913340
117943331
1247ab850
132b61b5c
141bc2660
15134c710
hexd44cfc

13913340 has 96 divisors (see below), whose sum is σ = 45018624. Its totient is φ = 3144960.

The previous prime is 13913323. The next prime is 13913357. The reversal of 13913340 is 4331931.

It is an interprime number because it is at equal distance from previous prime (13913323) and next prime (13913357).

It is a self number, because there is not a number n which added to its sum of digits gives 13913340.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65835 + ... + 66045.

It is an arithmetic number, because the mean of its divisors is an integer number (468944).

Almost surely, 213913340 is an apocalyptic number.

13913340 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 13913340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22509312).

13913340 is an abundant number, since it is smaller than the sum of its proper divisors (31105284).

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

13913340 is a wasteful number, since it uses less digits than its factorization.

13913340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13913340 is about 3730.0589807669. The cubic root of 13913340 is about 240.5159041066.

The spelling of 13913340 in words is "thirteen million, nine hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 211 314 420 422 471 628 633 785 844 942 1055 1099 1266 1477 1570 1884 2110 2198 2355 2532 2954 3140 3165 3297 4220 4396 4431 4710 5495 5908 6330 6594 7385 8862 9420 10990 12660 13188 14770 16485 17724 21980 22155 29540 32970 33127 44310 65940 66254 88620 99381 132508 165635 198762 231889 331270 397524 463778 496905 662540 695667 927556 993810 1159445 1391334 1987620 2318890 2782668 3478335 4637780 6956670 13913340