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10981124 = 22711101353
BaseRepresentation
bin101001111000…
…111100000100
3202122220021022
4221320330010
510302343444
61031210312
7162223640
oct51707404
922586238
1010981124
116220310
123816998
13237630b
14165bc20
15e6d9ee
hexa78f04

10981124 has 48 divisors (see below), whose sum is σ = 24264576. Its totient is φ = 4224000.

The previous prime is 10981109. The next prime is 10981129. The reversal of 10981124 is 42118901.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10981093 and 10981102.

It is not an unprimeable number, because it can be changed into a prime (10981129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30932 + ... + 31284.

It is an arithmetic number, because the mean of its divisors is an integer number (505512).

Almost surely, 210981124 is an apocalyptic number.

10981124 is a gapful number since it is divisible by the number (14) 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 10981124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132288).

10981124 is an abundant number, since it is smaller than the sum of its proper divisors (13283452).

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

10981124 is a wasteful number, since it uses less digits than its factorization.

10981124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 10981124 is about 3313.7779044468. Note that the first 3 decimals coincide. The cubic root of 10981124 is about 222.2707245612.

It can be divided in two parts, 1098 and 1124, that added together give a palindrome (2222).

The spelling of 10981124 in words is "ten million, nine hundred eighty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 353 404 706 707 1111 1412 1414 2222 2471 2828 3883 4444 4942 7766 7777 9884 15532 15554 27181 31108 35653 54362 71306 108724 142612 249571 392183 499142 784366 998284 1568732 2745281 5490562 10981124