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10609416 = 2332147353
BaseRepresentation
bin101000011110…
…001100001000
3201222000101100
4220132030020
510204000131
61015221400
7156115146
oct50361410
921860340
1010609416
115a97014
123677860
13227607c
1415a2596
15de87e6
hexa1e308

10609416 has 24 divisors (see below), whose sum is σ = 28734030. Its totient is φ = 3536448.

The previous prime is 10609399. The next prime is 10609427. The reversal of 10609416 is 61490601.

10609416 is a `hidden beast` number, since 10 + 609 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10536516 + 72900 = 3246^2 + 270^2 .

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

It is a super-2 number, since 2×106094162 = 225119415722112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10609416.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73605 + ... + 73748.

Almost surely, 210609416 is an apocalyptic number.

It is an amenable number.

10609416 is an abundant number, since it is smaller than the sum of its proper divisors (18124614).

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

10609416 is a wasteful number, since it uses less digits than its factorization.

10609416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147365 (or 147358 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10609416 is about 3257.2098489351. The cubic root of 10609416 is about 219.7339483591.

It can be divided in two parts, 10609 and 416, that added together give a square (11025 = 1052).

The spelling of 10609416 in words is "ten million, six hundred nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 147353 294706 442059 589412 884118 1178824 1326177 1768236 2652354 3536472 5304708 10609416