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10421712 = 243273211
BaseRepresentation
bin100111110000…
…010111010000
3201121110220100
4213300113100
510131443322
61011212400
7154404000
oct47602720
921543810
1010421712
115978a94
1235a7100
13220b7c2
141554000
15dacdac
hex9f05d0

10421712 has 120 divisors (see below), whose sum is σ = 34174400. Its totient is φ = 2963520.

The previous prime is 10421711. The next prime is 10421713. The reversal of 10421712 is 21712401.

It is an interprime number because it is at equal distance from previous prime (10421711) and next prime (10421713).

It is a super-2 number, since 2×104217122 = 217224162021888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421711) 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 23 ways as a sum of consecutive naturals, for example, 49287 + ... + 49497.

Almost surely, 210421712 is an apocalyptic number.

10421712 is a gapful number since it is divisible by the number (12) 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 10421712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087200).

10421712 is an abundant number, since it is smaller than the sum of its proper divisors (23752688).

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

10421712 is a wasteful number, since it uses less digits than its factorization.

10421712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10421712 is about 3228.2676468967. The cubic root of 10421712 is about 218.4303705300.

The spelling of 10421712 in words is "ten million, four hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 211 252 294 336 343 392 422 441 504 588 633 686 784 844 882 1008 1029 1176 1266 1372 1477 1688 1764 1899 2058 2352 2532 2744 2954 3087 3376 3528 3798 4116 4431 5064 5488 5908 6174 7056 7596 8232 8862 10128 10339 11816 12348 13293 15192 16464 17724 20678 23632 24696 26586 30384 31017 35448 41356 49392 53172 62034 70896 72373 82712 93051 106344 124068 144746 165424 186102 212688 217119 248136 289492 372204 434238 496272 578984 651357 744408 868476 1157968 1302714 1488816 1736952 2605428 3473904 5210856 10421712