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10885104 = 243437227
BaseRepresentation
bin101001100001…
…011111110000
3202111000120000
4221201133300
510241310404
61025150000
7161343666
oct51413760
922430500
1010885104
11616515a
12378b300
1323416b9
141634c36
15e50339
hexa617f0

10885104 has 100 divisors (see below), whose sum is σ = 32498664. Its totient is φ = 3514752.

The previous prime is 10885099. The next prime is 10885109. The reversal of 10885104 is 40158801.

10885104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10885099) and next prime (10885109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10885109) 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, 47839 + ... + 48065.

Almost surely, 210885104 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 10885104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249332).

10885104 is an abundant number, since it is smaller than the sum of its proper divisors (21613560).

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

10885104 is a wasteful number, since it uses less digits than its factorization.

10885104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10885104 is about 3299.2580984215. The cubic root of 10885104 is about 221.6209748726.

The spelling of 10885104 in words is "ten million, eight hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 227 296 324 333 432 444 454 592 648 666 681 888 908 999 1296 1332 1362 1776 1816 1998 2043 2664 2724 2997 3632 3996 4086 5328 5448 5994 6129 7992 8172 8399 10896 11988 12258 15984 16344 16798 18387 23976 24516 25197 32688 33596 36774 47952 49032 50394 67192 73548 75591 98064 100788 134384 147096 151182 201576 226773 294192 302364 403152 453546 604728 680319 907092 1209456 1360638 1814184 2721276 3628368 5442552 10885104