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129750840 = 23325439821
BaseRepresentation
bin1111011101111…
…01011100111000
3100001011000200200
413232331130320
5231204011330
620513002200
73133602222
oct756753470
9301130620
10129750840
11672717aa
1237553360
1320b5c25b
1413337412
15b5cea60
hex7bbd738

129750840 has 96 divisors (see below), whose sum is σ = 423165600. Its totient is φ = 34479360.

The previous prime is 129750809. The next prime is 129750847. The reversal of 129750840 is 48057921.

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 = 129750795 and 129750804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129750847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157630 + ... + 158450.

It is an arithmetic number, because the mean of its divisors is an integer number (4407975).

Almost surely, 2129750840 is an apocalyptic number.

129750840 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 129750840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211582800).

129750840 is an abundant number, since it is smaller than the sum of its proper divisors (293414760).

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

129750840 is a wasteful number, since it uses less digits than its factorization.

129750840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 129750840 is about 11390.8226217425. The cubic root of 129750840 is about 506.2558554421.

The spelling of 129750840 in words is "one hundred twenty-nine million, seven hundred fifty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 439 821 878 1317 1642 1756 2195 2463 2634 3284 3512 3951 4105 4390 4926 5268 6568 6585 7389 7902 8210 8780 9852 10536 12315 13170 14778 15804 16420 17560 19704 19755 24630 26340 29556 31608 32840 36945 39510 49260 52680 59112 73890 79020 98520 147780 158040 295560 360419 720838 1081257 1441676 1802095 2162514 2883352 3243771 3604190 4325028 5406285 6487542 7208380 8650056 10812570 12975084 14416760 16218855 21625140 25950168 32437710 43250280 64875420 129750840