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13954668 = 2237132983
BaseRepresentation
bin110101001110…
…111001101100
3222020222012120
4311032321230
512033022133
61215032540
7226420110
oct65167154
928228176
1013954668
117971392
12480b750
132b77900
141bd3740
151359ab3
hexd4ee6c

13954668 has 72 divisors (see below), whose sum is σ = 40336128. Its totient is φ = 3676608.

The previous prime is 13954667. The next prime is 13954679. The reversal of 13954668 is 86645931.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13954663) 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, 13705 + ... + 14687.

It is an arithmetic number, because the mean of its divisors is an integer number (560224).

Almost surely, 213954668 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 13954668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20168064).

13954668 is an abundant number, since it is smaller than the sum of its proper divisors (26381460).

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

13954668 is a wasteful number, since it uses less digits than its factorization.

13954668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 13954668 is about 3735.5947317663. The cubic root of 13954668 is about 240.7538104509.

The spelling of 13954668 in words is "thirteen million, nine hundred fifty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 983 1014 1092 1183 1966 2028 2366 2949 3549 3932 4732 5898 6881 7098 11796 12779 13762 14196 20643 25558 27524 38337 41286 51116 76674 82572 89453 153348 166127 178906 268359 332254 357812 498381 536718 664508 996762 1073436 1162889 1993524 2325778 3488667 4651556 6977334 13954668