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129116680 = 235711237103
BaseRepresentation
bin1111011001000…
…10101000001000
322222221210210021
413230202220020
5231023213210
620451230224
73125321320
oct754425010
9288853707
10129116680
1166979300
12372a8374
1320999704
1413210280
15b506bda
hex7b22a08

129116680 has 192 divisors, whose sum is σ = 378443520. Its totient is φ = 38776320.

The previous prime is 129116657. The next prime is 129116693. The reversal of 129116680 is 86611921.

It is a super-2 number, since 2×1291166802 = 33342234108444800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253509 + ... + 1253611.

It is an arithmetic number, because the mean of its divisors is an integer number (1971060).

Almost surely, 2129116680 is an apocalyptic number.

129116680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129116680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189221760).

129116680 is an abundant number, since it is smaller than the sum of its proper divisors (249326840).

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

129116680 is a wasteful number, since it uses less digits than its factorization.

129116680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 129116680 is about 11362.9520812155. The cubic root of 129116680 is about 505.4297293072.

It can be divided in two parts, 12911 and 6680, that added together give a palindrome (19591).

The spelling of 129116680 in words is "one hundred twenty-nine million, one hundred sixteen thousand, six hundred eighty".