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13918008 = 23313311439
BaseRepresentation
bin110101000101…
…111100111000
3222012002220210
4311011330320
512030334013
61214151120
7226205166
oct65057470
928162823
1013918008
117946895
1247b24a0
132b64010
141bc4236
15134dcc3
hexd45f38

13918008 has 64 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 4141440.

The previous prime is 13918007. The next prime is 13918027. The reversal of 13918008 is 80081931.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13918007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8953 + ... + 10391.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 213918008 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 13918008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

13918008 is an abundant number, since it is smaller than the sum of its proper divisors (24789192).

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

13918008 is a wasteful number, since it uses less digits than its factorization.

13918008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 13918008 is about 3730.6846556631. The cubic root of 13918008 is about 240.5427992231.

Adding to 13918008 its reverse (80081931), we get a palindrome (93999939).

The spelling of 13918008 in words is "thirteen million, nine hundred eighteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1439 1612 2418 2878 3224 4317 4836 5756 8634 9672 11512 17268 18707 34536 37414 44609 56121 74828 89218 112242 133827 149656 178436 224484 267654 356872 448968 535308 579917 1070616 1159834 1739751 2319668 3479502 4639336 6959004 13918008