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10890208 = 25761797
BaseRepresentation
bin101001100010…
…101111100000
3202111021120001
4221202233200
510241441313
61025225344
7161364610
oct51425740
922437501
1010890208
116168a7a
123792254
132343b14
141636a40
15e51add
hexa62be0

10890208 has 48 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 4584960.

The previous prime is 10890199. The next prime is 10890221. The reversal of 10890208 is 80209801.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 13266 + ... + 14062.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 210890208 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 10890208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

10890208 is an abundant number, since it is smaller than the sum of its proper divisors (14045696).

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

10890208 is an equidigital number, since it uses as much as digits as its factorization.

10890208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 10890208 is about 3300.0315150010. The cubic root of 10890208 is about 221.6556086468.

The spelling of 10890208 in words is "ten million, eight hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 797 854 976 1594 1708 1952 3188 3416 5579 6376 6832 11158 12752 13664 22316 25504 44632 48617 89264 97234 178528 194468 340319 388936 680638 777872 1361276 1555744 2722552 5445104 10890208