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13940576 = 2513233147
BaseRepresentation
bin110101001011…
…011101100000
3222020020212122
4311023131200
512032044301
61214443412
7226331036
oct65133540
928206778
1013940576
117961841
124803568
132b71380
141bcc556
15135581b
hexd4b760

13940576 has 96 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 5829120.

The previous prime is 13940569. The next prime is 13940581. The reversal of 13940576 is 67504931.

13940576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296585 + ... + 296631.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 213940576 is an apocalyptic number.

13940576 is a gapful number since it is divisible by the number (16) 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 13940576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

13940576 is an abundant number, since it is smaller than the sum of its proper divisors (18573472).

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

13940576 is a wasteful number, since it uses less digits than its factorization.

13940576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 13940576 is about 3733.7080764302. The cubic root of 13940576 is about 240.6727421095.

The spelling of 13940576 in words is "thirteen million, nine hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 47 52 62 92 94 104 124 184 188 208 248 299 368 376 403 416 496 598 611 713 736 752 806 992 1081 1196 1222 1426 1457 1504 1612 2162 2392 2444 2852 2914 3224 4324 4784 4888 5704 5828 6448 8648 9269 9568 9776 11408 11656 12896 14053 17296 18538 18941 19552 22816 23312 28106 33511 34592 37076 37882 46624 56212 67022 74152 75764 112424 134044 148304 151528 224848 268088 296608 303056 435643 449696 536176 606112 871286 1072352 1742572 3485144 6970288 13940576