Search a number
-
+
10475616 = 253109121
BaseRepresentation
bin100111111101…
…100001100000
3201201012211210
4213331201200
510140204431
61012310120
7155020104
oct47754140
921635753
1010475616
115a05538
123612340
13222a1b8
141569904
15dbdd46
hex9fd860

10475616 has 24 divisors (see below), whose sum is σ = 27498744. Its totient is φ = 3491840.

The previous prime is 10475611. The next prime is 10475657. The reversal of 10475616 is 61657401.

10475616 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10475611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54465 + ... + 54656.

It is an arithmetic number, because the mean of its divisors is an integer number (1145781).

Almost surely, 210475616 is an apocalyptic number.

10475616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10475616 is an abundant number, since it is smaller than the sum of its proper divisors (17023128).

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

10475616 is a wasteful number, since it uses less digits than its factorization.

10475616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109134 (or 109126 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10475616 is about 3236.6056293593. The cubic root of 10475616 is about 218.8063173638.

The spelling of 10475616 in words is "ten million, four hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109121 218242 327363 436484 654726 872968 1309452 1745936 2618904 3491872 5237808 10475616