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10393056 = 253323523
BaseRepresentation
bin100111101001…
…010111100000
3201120000121000
4213221113200
510130034211
61010432000
7154224312
oct47512740
921500530
1010393056
115959503
123592600
1321cb74b
1415477b2
15da4656
hex9e95e0

10393056 has 96 divisors (see below), whose sum is σ = 31691520. Its totient is φ = 3307392.

The previous prime is 10393037. The next prime is 10393081. The reversal of 10393056 is 65039301.

10393056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103930562 = 216031226038272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19611 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (330120).

Almost surely, 210393056 is an apocalyptic number.

10393056 is a gapful number since it is divisible by the number (16) 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 10393056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845760).

10393056 is an abundant number, since it is smaller than the sum of its proper divisors (21298464).

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

10393056 is a wasteful number, since it uses less digits than its factorization.

10393056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10393056 is about 3223.8262980502. The cubic root of 10393056 is about 218.2299848203.

It can be divided in two parts, 1039 and 3056, that added together give a triangular number (4095 = T90).

The spelling of 10393056 in words is "ten million, three hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 523 552 621 736 828 864 1046 1104 1242 1569 1656 2092 2208 2484 3138 3312 4184 4707 4968 6276 6624 8368 9414 9936 12029 12552 14121 16736 18828 19872 24058 25104 28242 36087 37656 48116 50208 56484 72174 75312 96232 108261 112968 144348 150624 192464 216522 225936 288696 324783 384928 433044 451872 577392 649566 866088 1154784 1299132 1732176 2598264 3464352 5196528 10393056