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10934816 = 253173151
BaseRepresentation
bin101001101101…
…101000100000
3202120112202012
4221231220200
510244403231
61030212052
7161641634
oct51555040
922515665
1010934816
116199542
1237b4028
13235b209
141648dc4
15e5ee2b
hexa6da20

10934816 has 48 divisors (see below), whose sum is σ = 22675968. Its totient is φ = 5184000.

The previous prime is 10934813. The next prime is 10934831. The reversal of 10934816 is 61843901.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10934813) 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, 72341 + ... + 72491.

It is an arithmetic number, because the mean of its divisors is an integer number (472416).

Almost surely, 210934816 is an apocalyptic number.

10934816 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 10934816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337984).

10934816 is an abundant number, since it is smaller than the sum of its proper divisors (11741152).

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

10934816 is a wasteful number, since it uses less digits than its factorization.

10934816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 10934816 is about 3306.7833312753. The cubic root of 10934816 is about 221.9578417362.

The spelling of 10934816 in words is "ten million, nine hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 151 248 292 302 496 584 604 992 1168 1208 2263 2336 2416 4526 4681 4832 9052 9362 11023 18104 18724 22046 36208 37448 44092 72416 74896 88184 149792 176368 341713 352736 683426 1366852 2733704 5467408 10934816