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122680796 = 22719253229
BaseRepresentation
bin1110100111111…
…11010111011100
322112211211102012
413103333113130
5222401241141
620101250352
73016524650
oct723772734
9275754365
10122680796
1163282997
12351039b8
131c5551b4
1412416a60
15ab84ceb
hex74ff5dc

122680796 has 72 divisors (see below), whose sum is σ = 264993120. Its totient is φ = 48657024.

The previous prime is 122680771. The next prime is 122680799. The reversal of 122680796 is 697086221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122680799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535610 + ... + 535838.

It is an arithmetic number, because the mean of its divisors is an integer number (3680460).

Almost surely, 2122680796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122680796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496560).

122680796 is an abundant number, since it is smaller than the sum of its proper divisors (142312324).

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

122680796 is a wasteful number, since it uses less digits than its factorization.

122680796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 122680796 is about 11076.1363299663. The cubic root of 122680796 is about 496.8884041108. Note that the first 3 decimals are identical.

The spelling of 122680796 in words is "one hundred twenty-two million, six hundred eighty thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 229 266 361 371 458 532 722 742 916 1007 1444 1484 1603 2014 2527 3206 4028 4351 5054 6412 7049 8702 10108 12137 14098 17404 19133 24274 28196 30457 38266 48548 60914 76532 82669 84959 121828 133931 165338 169918 230603 267862 330676 339836 461206 535724 578683 922412 1157366 1614221 2314732 3228442 4381457 6456884 8762914 17525828 30670199 61340398 122680796