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10042416 = 243269739
BaseRepresentation
bin100110010011…
…110000110000
3200220012121100
4212103300300
510032324131
6555124400
7151234116
oct46236060
920805540
1010042416
11573a01a
123443700
132107c77
141495ab6
15d357e6
hex993c30

10042416 has 30 divisors (see below), whose sum is σ = 28105220. Its totient is φ = 3347424.

The previous prime is 10042411. The next prime is 10042433. The reversal of 10042416 is 61424001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10042411) 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, 34726 + ... + 35013.

Almost surely, 210042416 is an apocalyptic number.

10042416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10042416 is an abundant number, since it is smaller than the sum of its proper divisors (18062804).

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

10042416 is a wasteful number, since it uses less digits than its factorization.

10042416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69753 (or 69744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10042416 is about 3168.9771220380. The cubic root of 10042416 is about 215.7476476790.

Adding to 10042416 its reverse (61424001), we get a palindrome (71466417).

The spelling of 10042416 in words is "ten million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 69739 139478 209217 278956 418434 557912 627651 836868 1115824 1255302 1673736 2510604 3347472 5021208 10042416