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102580829 = 13193113397
BaseRepresentation
bin1100001110101…
…00001001011101
321011000122102222
412013110021131
5202230041304
614102355125
72353631321
oct607241135
9234018388
10102580829
11529a454a
122a42baa5
1318338420
14d8a3981
1590144be
hex61d425d

102580829 has 16 divisors (see below), whose sum is σ = 120046080. Its totient is φ = 86806080.

The previous prime is 102580823. The next prime is 102580847. The reversal of 102580829 is 928085201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102580829 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102580823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 959 + ... + 14355.

It is an arithmetic number, because the mean of its divisors is an integer number (7502880).

Almost surely, 2102580829 is an apocalyptic number.

102580829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102580829 is a deficient number, since it is larger than the sum of its proper divisors (17465251).

102580829 is a wasteful number, since it uses less digits than its factorization.

102580829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13460.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 102580829 is about 10128.2194387760. The cubic root of 102580829 is about 468.1180653374.

The spelling of 102580829 in words is "one hundred two million, five hundred eighty thousand, eight hundred twenty-nine".

Divisors: 1 13 19 31 247 403 589 7657 13397 174161 254543 415307 3309059 5398991 7890833 102580829