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129760740 = 223251315503
BaseRepresentation
bin1111011101111…
…11110111100100
3100001011112021100
413232333313210
5231204320430
620513120100
73133643124
oct756776744
9301145240
10129760740
116727918a
1237559030
1320b63905
141333ac84
15b5d2960
hex7bbfde4

129760740 has 72 divisors (see below), whose sum is σ = 396684288. Its totient is φ = 34332480.

The previous prime is 129760727. The next prime is 129760751. The reversal of 129760740 is 47067921.

It is a happy number.

129760740 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 607 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129760695 and 129760704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20829 + ... + 26331.

It is an arithmetic number, because the mean of its divisors is an integer number (5509504).

Almost surely, 2129760740 is an apocalyptic number.

129760740 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 129760740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198342144).

129760740 is an abundant number, since it is smaller than the sum of its proper divisors (266923548).

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

129760740 is a wasteful number, since it uses less digits than its factorization.

129760740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 129760740 is about 11391.2571738154. The cubic root of 129760740 is about 506.2687309028.

The spelling of 129760740 in words is "one hundred twenty-nine million, seven hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5503 5895 7860 11006 11790 16509 22012 23580 27515 33018 49527 55030 66036 82545 99054 110060 165090 198108 247635 330180 495270 720893 990540 1441786 2162679 2883572 3604465 4325358 6488037 7208930 8650716 10813395 12976074 14417860 21626790 25952148 32440185 43253580 64880370 129760740