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13318992 = 243443239
BaseRepresentation
bin110010110011…
…101101010000
3221001200020000
4302303231100
511402201432
61153250000
7221131611
oct62635520
927050200
1013318992
117577835
124563900
1329b447b
141aa9c08
15128157c
hexcb3b50

13318992 has 100 divisors (see below), whose sum is σ = 39610560. Its totient is φ = 4318272.

The previous prime is 13318969. The next prime is 13319017. The reversal of 13318992 is 29981331.

13318992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55609 + ... + 55847.

Almost surely, 213318992 is an apocalyptic number.

13318992 is a gapful number since it is divisible by the number (12) 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 13318992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805280).

13318992 is an abundant number, since it is smaller than the sum of its proper divisors (26291568).

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

13318992 is a wasteful number, since it uses less digits than its factorization.

13318992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13318992 is about 3649.5194204169. The cubic root of 13318992 is about 237.0411721453.

The spelling of 13318992 in words is "thirteen million, three hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 239 258 324 344 387 432 478 516 648 688 717 774 956 1032 1161 1296 1434 1548 1912 2064 2151 2322 2868 3096 3483 3824 4302 4644 5736 6192 6453 6966 8604 9288 10277 11472 12906 13932 17208 18576 19359 20554 25812 27864 30831 34416 38718 41108 51624 55728 61662 77436 82216 92493 103248 123324 154872 164432 184986 246648 277479 309744 369972 493296 554958 739944 832437 1109916 1479888 1664874 2219832 3329748 4439664 6659496 13318992