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10893344 = 257114421
BaseRepresentation
bin101001100011…
…100000100000
3202111102212012
4221203200200
510242041334
61025252052
7161410010
oct51434040
922442765
1010893344
116170370
123794028
132345387
141637c40
15e529ce
hexa63820

10893344 has 48 divisors (see below), whose sum is σ = 26744256. Its totient is φ = 4243200.

The previous prime is 10893293. The next prime is 10893353. The reversal of 10893344 is 44339801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10893344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254 + ... + 4674.

It is an arithmetic number, because the mean of its divisors is an integer number (557172).

Almost surely, 210893344 is an apocalyptic number.

10893344 is a gapful number since it is divisible by the number (14) 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 10893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372128).

10893344 is an abundant number, since it is smaller than the sum of its proper divisors (15850912).

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

10893344 is a wasteful number, since it uses less digits than its factorization.

10893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 10893344 is about 3300.5066277770. The cubic root of 10893344 is about 221.6768829658.

The spelling of 10893344 in words is "ten million, eight hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4421 8842 17684 30947 35368 48631 61894 70736 97262 123788 141472 194524 247576 340417 389048 495152 680834 778096 990304 1361668 1556192 2723336 5446672 10893344