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13948396 = 22711223179
BaseRepresentation
bin110101001101…
…010111101100
3222020122121021
4311031113230
512032322041
61214543524
7226362610
oct65152754
928218537
1013948396
117967700
124807ba4
132b74ab7
141bd1340
151357cd1
hexd4d5ec

13948396 has 72 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 5169120.

The previous prime is 13948393. The next prime is 13948397. The reversal of 13948396 is 69384931.

13948396 = T563 + T564 + ... + T639.

It is not an unprimeable number, because it can be changed into a prime (13948393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77835 + ... + 78013.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 213948396 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 13948396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

13948396 is an abundant number, since it is smaller than the sum of its proper divisors (18226964).

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

13948396 is a wasteful number, since it uses less digits than its factorization.

13948396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 13948396 is about 3734.7551459232. The cubic root of 13948396 is about 240.7177356841.

The spelling of 13948396 in words is "thirteen million, nine hundred forty-eight thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 179 242 253 308 322 358 484 506 644 716 847 1012 1253 1694 1771 1969 2506 2783 3388 3542 3938 4117 5012 5566 7084 7876 8234 11132 13783 16468 19481 21659 27566 28819 38962 43318 45287 55132 57638 77924 86636 90574 115276 151613 181148 303226 317009 498157 606452 634018 996314 1268036 1992628 3487099 6974198 13948396