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13900524 = 22311314379
BaseRepresentation
bin110101000001…
…101011101100
3222011012221020
4311001223230
512024304044
61213534140
7226103211
oct65015354
928135836
1013900524
117934740
1247a4350
132b59081
141bbbb08
151348a19
hexd41aec

13900524 has 96 divisors (see below), whose sum is σ = 37847040. Its totient is φ = 3931200.

The previous prime is 13900519. The next prime is 13900553. The reversal of 13900524 is 42500931.

13900524 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13900494 and 13900503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175917 + ... + 175995.

It is an arithmetic number, because the mean of its divisors is an integer number (394240).

Almost surely, 213900524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13900524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923520).

13900524 is an abundant number, since it is smaller than the sum of its proper divisors (23946516).

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

13900524 is a wasteful number, since it uses less digits than its factorization.

13900524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13900524 is about 3728.3406496725. The cubic root of 13900524 is about 240.4420325857.

The spelling of 13900524 in words is "thirteen million, nine hundred thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 43 44 62 66 79 86 93 124 129 132 158 172 186 237 258 316 341 372 473 474 516 682 869 946 948 1023 1333 1364 1419 1738 1892 2046 2449 2607 2666 2838 3397 3476 3999 4092 4898 5214 5332 5676 6794 7347 7998 9796 10191 10428 13588 14663 14694 15996 20382 26939 29326 29388 37367 40764 43989 53878 58652 74734 80817 87978 105307 107756 112101 149468 161634 175956 210614 224202 315921 323268 421228 448404 631842 1158377 1263684 2316754 3475131 4633508 6950262 13900524