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10890396 = 22331189103
BaseRepresentation
bin101001100010…
…110010011100
3202111021211000
4221202302130
510241443041
61025230300
7161365266
oct51426234
922437730
1010890396
116169130
123792390
132343c2a
141636b36
15e51bb6
hexa62c9c

10890396 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3231360.

The previous prime is 10890389. The next prime is 10890413. The reversal of 10890396 is 69309801.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10890396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105681 + ... + 105783.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 210890396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10890396 is an abundant number, since it is smaller than the sum of its proper divisors (20559204).

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

10890396 is a wasteful number, since it uses less digits than its factorization.

10890396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

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

The square root of 10890396 is about 3300.0599994546. The cubic root of 10890396 is about 221.6568841356.

The spelling of 10890396 in words is "ten million, eight hundred ninety thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 103 108 132 178 198 206 267 297 309 356 396 412 534 594 618 801 927 979 1068 1133 1188 1236 1602 1854 1958 2266 2403 2781 2937 3204 3399 3708 3916 4532 4806 5562 5874 6798 8811 9167 9612 10197 11124 11748 13596 17622 18334 20394 26433 27501 30591 35244 36668 40788 52866 55002 61182 82503 100837 105732 110004 122364 165006 201674 247509 302511 330012 403348 495018 605022 907533 990036 1210044 1815066 2722599 3630132 5445198 10890396