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10458216 = 2332145253
BaseRepresentation
bin100111111001…
…010001101000
3201200022222100
4213321101220
510134130331
61012053400
7154615266
oct47712150
921608870
1010458216
1159a345a
123604260
1322222c2
141563436
15db8ae6
hex9f9468

10458216 has 24 divisors (see below), whose sum is σ = 28324530. Its totient is φ = 3486048.

The previous prime is 10458211. The next prime is 10458251. The reversal of 10458216 is 61285401.

10458216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9548100 + 910116 = 3090^2 + 954^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10458216.

It is not an unprimeable number, because it can be changed into a prime (10458211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72555 + ... + 72698.

Almost surely, 210458216 is an apocalyptic number.

It is an amenable number.

10458216 is an abundant number, since it is smaller than the sum of its proper divisors (17866314).

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

10458216 is a wasteful number, since it uses less digits than its factorization.

10458216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145265 (or 145258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10458216 is about 3233.9165109817. The cubic root of 10458216 is about 218.6851044503.

It can be divided in two parts, 1045 and 8216, that added together give a cube (9261 = 213).

The spelling of 10458216 in words is "ten million, four hundred fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 145253 290506 435759 581012 871518 1162024 1307277 1743036 2614554 3486072 5229108 10458216