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129981120 = 2635711907
BaseRepresentation
bin1111011111101…
…01101011000000
3100001120201120120
413233311223000
5231233343440
620521540240
73135551463
oct757655300
9301521516
10129981120
1167409815
1237644680
1320c10009
14133972da
15b627dd0
hex7bf5ac0

129981120 has 112 divisors (see below), whose sum is σ = 418722048. Its totient is φ = 34155520.

The previous prime is 129981113. The next prime is 129981121. The reversal of 129981120 is 21189921.

It is not an unprimeable number, because it can be changed into a prime (129981121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67207 + ... + 69113.

Almost surely, 2129981120 is an apocalyptic number.

129981120 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 129981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209361024).

129981120 is an abundant number, since it is smaller than the sum of its proper divisors (288740928).

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

129981120 is a wasteful number, since it uses less digits than its factorization.

129981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 129981120 is about 11400.9262781583. The cubic root of 129981120 is about 506.5551770695. Note that the first 3 decimals are identical.

The spelling of 129981120 in words is "one hundred twenty-nine million, nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 1907 2130 2272 2840 3408 3814 4260 4544 5680 5721 6816 7628 8520 9535 11360 11442 13632 15256 17040 19070 22720 22884 28605 30512 34080 38140 45768 57210 61024 68160 76280 91536 114420 122048 135397 152560 183072 228840 270794 305120 366144 406191 457680 541588 610240 676985 812382 915360 1083176 1353970 1624764 1830720 2030955 2166352 2707940 3249528 4061910 4332704 5415880 6499056 8123820 8665408 10831760 12998112 16247640 21663520 25996224 32495280 43327040 64990560 129981120