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10982192 = 2413371427
BaseRepresentation
bin101001111001…
…001100110000
3202122221201212
4221321030300
510302412232
61031215252
7162230024
oct51711460
922587655
1010982192
1162210a1
123817528
132376950
14165c384
15e6deb2
hexa79330

10982192 has 40 divisors (see below), whose sum is σ = 23550576. Its totient is φ = 4928256.

The previous prime is 10982189. The next prime is 10982227. The reversal of 10982192 is 29128901.

It is a happy number.

It is a super-2 number, since 2×109821922 = 241217082249728, which contains 22 as substring.

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, 6983 + ... + 8409.

Almost surely, 210982192 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 10982192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775288).

10982192 is an abundant number, since it is smaller than the sum of its proper divisors (12568384).

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

10982192 is a wasteful number, since it uses less digits than its factorization.

10982192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 10982192 is about 3313.9390459090. The cubic root of 10982192 is about 222.2779301818.

The spelling of 10982192 in words is "ten million, nine hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1427 1924 2854 3848 5708 7696 11416 18551 22832 37102 52799 74204 105598 148408 211196 296816 422392 686387 844784 1372774 2745548 5491096 10982192