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10142415 = 34579317
BaseRepresentation
bin100110101100…
…001011001111
3201002021210000
4212230023033
510044024130
61001215343
7152131503
oct46541317
921067700
1010142415
1157a8168
123491553
13214163a
1414c0303
15d55260
hex9ac2cf

10142415 has 40 divisors (see below), whose sum is σ = 18469440. Its totient is φ = 5323968.

The previous prime is 10142399. The next prime is 10142441. The reversal of 10142415 is 51424101.

It is not a de Polignac number, because 10142415 - 24 = 10142399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31837 + ... + 32153.

It is an arithmetic number, because the mean of its divisors is an integer number (461736).

Almost surely, 210142415 is an apocalyptic number.

10142415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10142415 is a deficient number, since it is larger than the sum of its proper divisors (8327025).

10142415 is an equidigital number, since it uses as much as digits as its factorization.

10142415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10142415 is about 3184.7158428971. The cubic root of 10142415 is about 216.4613979645.

Adding to 10142415 its reverse (51424101), we get a palindrome (61566516).

The spelling of 10142415 in words is "ten million, one hundred forty-two thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 79 81 135 237 317 395 405 711 951 1185 1585 2133 2853 3555 4755 6399 8559 10665 14265 25043 25677 31995 42795 75129 125215 128385 225387 375645 676161 1126935 2028483 3380805 10142415