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10934496 = 253237967
BaseRepresentation
bin101001101101…
…100011100000
3202120112022100
4221231203200
510244400441
61030210400
7161640666
oct51554340
922515270
1010934496
116199281
1237b3a00
13235b021
141648c36
15e5ecb6
hexa6d8e0

10934496 has 36 divisors (see below), whose sum is σ = 31095792. Its totient is φ = 3644736.

The previous prime is 10934477. The next prime is 10934507. The reversal of 10934496 is 69443901.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10934496.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 18696 + ... + 19271.

It is an arithmetic number, because the mean of its divisors is an integer number (863772).

Almost surely, 210934496 is an apocalyptic number.

10934496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10934496 is an abundant number, since it is smaller than the sum of its proper divisors (20161296).

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

10934496 is a wasteful number, since it uses less digits than its factorization.

10934496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37983 (or 37972 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 10934496 is about 3306.7349455316. The cubic root of 10934496 is about 221.9556765663.

The spelling of 10934496 in words is "ten million, nine hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 37967 75934 113901 151868 227802 303736 341703 455604 607472 683406 911208 1214944 1366812 1822416 2733624 3644832 5467248 10934496