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129969120 = 25351914251
BaseRepresentation
bin1111011111100…
…10101111100000
3100001120010010010
413233302233200
5231233002440
620521404520
73135501501
oct757625740
9301503103
10129969120
11674007a6
1237639740
1320c07708
1413392ba8
15b624580
hex7bf2be0

129969120 has 96 divisors (see below), whose sum is σ = 430980480. Its totient is φ = 32832000.

The previous prime is 129969109. The next prime is 129969137. The reversal of 129969120 is 21969921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995 + ... + 16245.

It is an arithmetic number, because the mean of its divisors is an integer number (4489380).

Almost surely, 2129969120 is an apocalyptic number.

129969120 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 129969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215490240).

129969120 is an abundant number, since it is smaller than the sum of its proper divisors (301011360).

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

129969120 is a wasteful number, since it uses less digits than its factorization.

129969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14280 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 129969120 is about 11400.3999929827. The cubic root of 129969120 is about 506.5395880127.

The spelling of 129969120 in words is "one hundred twenty-nine million, nine hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 14251 28502 42753 57004 71255 85506 114008 142510 171012 213765 228016 270769 285020 342024 427530 456032 541538 570040 684048 812307 855060 1083076 1140080 1353845 1368096 1624614 1710120 2166152 2280160 2707690 3249228 3420240 4061535 4332304 5415380 6498456 6840480 8123070 8664608 10830760 12996912 16246140 21661520 25993824 32492280 43323040 64984560 129969120