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10074368 = 28232959
BaseRepresentation
bin100110011011…
…100100000000
3200221211102202
4212123210000
510034334433
6555532332
7151426223
oct46334400
920854382
1010074368
115761027
12345a0a8
132119685
1414a35ba
15d3eee8
hex99b900

10074368 has 72 divisors (see below), whose sum is σ = 22075200. Its totient is φ = 4573184.

The previous prime is 10074367. The next prime is 10074373. The reversal of 10074368 is 86347001.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 10074368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170723 + ... + 170781.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 210074368 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 10074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037600).

10074368 is an abundant number, since it is smaller than the sum of its proper divisors (12000832).

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

10074368 is an equidigital number, since it uses as much as digits as its factorization.

10074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 10074368 is about 3174.0144927205. The cubic root of 10074368 is about 215.9762205189.

The spelling of 10074368 in words is "ten million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 29 32 46 58 59 64 92 116 118 128 184 232 236 256 368 464 472 667 736 928 944 1334 1357 1472 1711 1856 1888 2668 2714 2944 3422 3712 3776 5336 5428 5888 6844 7424 7552 10672 10856 13688 15104 21344 21712 27376 39353 42688 43424 54752 78706 85376 86848 109504 157412 170752 173696 219008 314824 347392 438016 629648 1259296 2518592 5037184 10074368