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122716104 = 23373123563
BaseRepresentation
bin1110101000001…
…11111111001000
322112220121211220
413110013333020
5222403403404
620102122040
73020032620
oct724077710
9275817756
10122716104
11632a7475
1235120320
131c5682a4
1412425880
15ab904d9
hex7507fc8

122716104 has 64 divisors (see below), whose sum is σ = 361943040. Its totient is φ = 33929280.

The previous prime is 122716093. The next prime is 122716127. The reversal of 122716104 is 401617221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6574 + ... + 16989.

It is an arithmetic number, because the mean of its divisors is an integer number (5655360).

Almost surely, 2122716104 is an apocalyptic number.

122716104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122716104 is an abundant number, since it is smaller than the sum of its proper divisors (239226936).

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

122716104 is a wasteful number, since it uses less digits than its factorization.

122716104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23610 (or 23606 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 122716104 is about 11077.7300923971. The cubic root of 122716104 is about 496.9360683297.

The spelling of 122716104 in words is "one hundred twenty-two million, seven hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 23563 47126 70689 94252 141378 164941 188504 282756 329882 494823 565512 659764 730453 989646 1319528 1460906 1979292 2191359 2921812 3958584 4382718 5113171 5843624 8765436 10226342 15339513 17530872 20452684 30679026 40905368 61358052 122716104