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129948160 = 295232207
BaseRepresentation
bin1111011111011…
…01101000000000
3100001112001100211
413233231220000
5231231320120
620521123504
73135353416
oct757555000
9301461324
10129948160
1167396a81
1237629594
1320bcb004
14133892b6
15b61d25a
hex7beda00

129948160 has 80 divisors (see below), whose sum is σ = 325264896. Its totient is φ = 49696768.

The previous prime is 129948157. The next prime is 129948227. The reversal of 129948160 is 61849921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57777 + ... + 59983.

Almost surely, 2129948160 is an apocalyptic number.

129948160 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 129948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162632448).

129948160 is an abundant number, since it is smaller than the sum of its proper divisors (195316736).

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

129948160 is an equidigital number, since it uses as much as digits as its factorization.

129948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 129948160 is about 11399.4806899262. The cubic root of 129948160 is about 506.5123568249.

The spelling of 129948160 in words is "one hundred twenty-nine million, nine hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1280 1472 1840 2207 2560 2944 3680 4414 5888 7360 8828 11035 11776 14720 17656 22070 29440 35312 44140 50761 58880 70624 88280 101522 141248 176560 203044 253805 282496 353120 406088 507610 564992 706240 812176 1015220 1129984 1412480 1624352 2030440 2824960 3248704 4060880 5649920 6497408 8121760 12994816 16243520 25989632 32487040 64974080 129948160