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13284978 = 237273619
BaseRepresentation
bin110010101011…
…011001110010
3220222221120020
4302223121302
511400104403
61152424310
7220630500
oct62533162
926887506
1013284978
117554223
124548096
1329a1b45
141a9b670
151276453
hexcab672

13284978 has 48 divisors (see below), whose sum is σ = 31381920. Its totient is φ = 3737664.

The previous prime is 13284967. The next prime is 13284983. The reversal of 13284978 is 87948231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21153 + ... + 21771.

It is an arithmetic number, because the mean of its divisors is an integer number (653790).

Almost surely, 213284978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13284978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690960).

13284978 is an abundant number, since it is smaller than the sum of its proper divisors (18096942).

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

13284978 is a wasteful number, since it uses less digits than its factorization.

13284978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 13284978 is about 3644.8563757712. The cubic root of 13284978 is about 236.8392151278.

The spelling of 13284978 in words is "thirteen million, two hundred eighty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 619 1022 1238 1533 1857 3066 3577 3714 4333 7154 8666 10731 12999 21462 25998 30331 45187 60662 90374 90993 135561 181986 271122 316309 632618 948927 1897854 2214163 4428326 6642489 13284978