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13190472 = 233379773
BaseRepresentation
bin110010010100…
…010101001000
3220211010221000
4302110111020
511334043342
61150415000
7220055121
oct62242510
926733830
1013190472
11749a219
124501460
13296ab19
141a75048
15125844c
hexc94548

13190472 has 64 divisors (see below), whose sum is σ = 37152000. Its totient is φ = 4335552.

The previous prime is 13190467. The next prime is 13190509. The reversal of 13190472 is 27409131.

13190472 is a `hidden beast` number, since 1 + 3 + 190 + 472 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16678 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (580500).

Almost surely, 213190472 is an apocalyptic number.

13190472 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 13190472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576000).

13190472 is an abundant number, since it is smaller than the sum of its proper divisors (23961528).

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

13190472 is a wasteful number, since it uses less digits than its factorization.

13190472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13190472 is about 3631.8689403667. The cubic root of 13190472 is about 236.2762732181.

The spelling of 13190472 in words is "thirteen million, one hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 773 948 1422 1546 1896 2133 2319 2844 3092 4266 4638 5688 6184 6957 8532 9276 13914 17064 18552 20871 27828 41742 55656 61067 83484 122134 166968 183201 244268 366402 488536 549603 732804 1099206 1465608 1648809 2198412 3297618 4396824 6595236 13190472