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10950816 = 253373083
BaseRepresentation
bin101001110001…
…100010100000
3202121100200210
4221301202200
510300411231
61030414120
7162036402
oct51614240
922540623
1010950816
1161aa568
123801340
132365596
141650b72
15e64a46
hexa718a0

10950816 has 48 divisors (see below), whose sum is σ = 29532384. Its totient is φ = 3550464.

The previous prime is 10950811. The next prime is 10950847. The reversal of 10950816 is 61805901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10950811) 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, 2011 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (615258).

Almost surely, 210950816 is an apocalyptic number.

10950816 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 10950816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766192).

10950816 is an abundant number, since it is smaller than the sum of its proper divisors (18581568).

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

10950816 is a wasteful number, since it uses less digits than its factorization.

10950816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 10950816 is about 3309.2017164265. The cubic root of 10950816 is about 222.0660464149.

The spelling of 10950816 in words is "ten million, nine hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3083 3552 6166 9249 12332 18498 24664 36996 49328 73992 98656 114071 147984 228142 295968 342213 456284 684426 912568 1368852 1825136 2737704 3650272 5475408 10950816