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13102992 = 243372619
BaseRepresentation
bin110001111110…
…111110010000
3220122200221000
4301332332100
511323243432
61144502000
7216242100
oct61767620
926580830
1013102992
11743a521
12447a900
13293a066
141a51200
15123c57c
hexc7ef90

13102992 has 120 divisors (see below), whose sum is σ = 43821600. Its totient is φ = 3737664.

The previous prime is 13102981. The next prime is 13102993. The reversal of 13102992 is 29920131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13102993) 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, 20859 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (365180).

Almost surely, 213102992 is an apocalyptic number.

13102992 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 13102992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21910800).

13102992 is an abundant number, since it is smaller than the sum of its proper divisors (30718608).

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

13102992 is a wasteful number, since it uses less digits than its factorization.

13102992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13102992 is about 3619.8055196378. The cubic root of 13102992 is about 235.7527814341.

The spelling of 13102992 in words is "thirteen million, one hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 619 756 784 882 1008 1176 1238 1323 1512 1764 1857 2352 2476 2646 3024 3528 3714 4333 4952 5292 5571 7056 7428 8666 9904 10584 11142 12999 14856 16713 17332 21168 22284 25998 29712 30331 33426 34664 38997 44568 51996 60662 66852 69328 77994 89136 90993 103992 116991 121324 133704 155988 181986 207984 233982 242648 267408 272979 311976 363972 467964 485296 545958 623952 727944 818937 935928 1091916 1455888 1637874 1871856 2183832 3275748 4367664 6551496 13102992