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129245040 = 24325732459
BaseRepresentation
bin1111011010000…
…01111101110000
3100000012022212100
413231001331300
5231041320130
620454100400
73126364461
oct755017560
9300168770
10129245040
1166a56791
123734a700
1320a12c72
1413244d68
15b52ec60
hex7b41f70

129245040 has 120 divisors (see below), whose sum is σ = 440172720. Its totient is φ = 33979392.

The previous prime is 129245029. The next prime is 129245059. The reversal of 129245040 is 40542921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 129244995 and 129245013.

It is a congruent number.

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, 51331 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (3668106).

Almost surely, 2129245040 is an apocalyptic number.

129245040 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 129245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220086360).

129245040 is an abundant number, since it is smaller than the sum of its proper divisors (310927680).

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

129245040 is a wasteful number, since it uses less digits than its factorization.

129245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 129245040 is about 11368.5988582587. The cubic root of 129245040 is about 505.5971630656.

Adding to 129245040 its reverse (40542921), we get a palindrome (169787961).

The spelling of 129245040 in words is "one hundred twenty-nine million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2459 2628 2920 3285 3504 4380 4918 5256 5840 6570 7377 8760 9836 10512 12295 13140 14754 17520 19672 22131 24590 26280 29508 36885 39344 44262 49180 52560 59016 73770 88524 98360 110655 118032 147540 177048 179507 196720 221310 295080 354096 359014 442620 538521 590160 718028 885240 897535 1077042 1436056 1615563 1770480 1795070 2154084 2692605 2872112 3231126 3590140 4308168 5385210 6462252 7180280 8077815 8616336 10770420 12924504 14360560 16155630 21540840 25849008 32311260 43081680 64622520 129245040