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13480992 = 25347743
BaseRepresentation
bin110011011011…
…010000100000
3221100220110000
4303123100200
511422342432
61200540000
7222405120
oct63332040
927326400
1013480992
117678518
124621600
132a40125
141b0cc80
1512b457c
hexcdb420

13480992 has 120 divisors (see below), whose sum is σ = 45372096. Its totient is φ = 3846528.

The previous prime is 13480991. The next prime is 13480997. The reversal of 13480992 is 29908431.

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

It is not an unprimeable number, because it can be changed into a prime (13480991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17773 + ... + 18515.

Almost surely, 213480992 is an apocalyptic number.

13480992 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 13480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048).

13480992 is an abundant number, since it is smaller than the sum of its proper divisors (31891104).

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

13480992 is an equidigital number, since it uses as much as digits as its factorization.

13480992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13480992 is about 3671.6470418601. The cubic root of 13480992 is about 237.9983522707.

Adding to 13480992 its sum of digits (36), we get a triangular number (13481028 = T5192).

The spelling of 13480992 in words is "thirteen million, four hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 743 756 864 1008 1134 1296 1486 1512 2016 2229 2268 2592 2972 3024 4458 4536 5201 5944 6048 6687 8916 9072 10402 11888 13374 15603 17832 18144 20061 20804 23776 26748 31206 35664 40122 41608 46809 53496 60183 62412 71328 80244 83216 93618 106992 120366 124824 140427 160488 166432 187236 213984 240732 249648 280854 320976 374472 421281 481464 499296 561708 641952 748944 842562 962928 1123416 1497888 1685124 1925856 2246832 3370248 4493664 6740496 13480992