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10979424 = 253267569
BaseRepresentation
bin101001111000…
…100001100000
3202122210221100
4221320201200
510302320144
61031154400
7162215661
oct51704140
922583840
1010979424
11621a005
123815a00
132375601
14165b368
15e6d269
hexa78860

10979424 has 72 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 3598848.

The previous prime is 10979413. The next prime is 10979447. The reversal of 10979424 is 42497901.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19012 + ... + 19580.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 210979424 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 10979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

10979424 is an abundant number, since it is smaller than the sum of its proper divisors (20765016).

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

10979424 is a wasteful number, since it uses less digits than its factorization.

10979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10979424 is about 3313.5213897001. The cubic root of 10979424 is about 222.2592539767.

The spelling of 10979424 in words is "ten million, nine hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 569 603 804 1072 1138 1206 1608 1707 2144 2276 2412 3216 3414 4552 4824 5121 6432 6828 9104 9648 10242 13656 18208 19296 20484 27312 38123 40968 54624 76246 81936 114369 152492 163872 228738 304984 343107 457476 609968 686214 914952 1219936 1372428 1829904 2744856 3659808 5489712 10979424