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129102080 = 285172349
BaseRepresentation
bin1111011000111…
…11000100000000
322222221001202112
413230133010000
5231022231310
620451034452
73125230622
oct754370400
9288831675
10129102080
1166969338
123729ba28
1320992b83
1413208c12
15b502705
hex7b1f100

129102080 has 108 divisors (see below), whose sum is σ = 329441700. Its totient is φ = 48463872.

The previous prime is 129102079. The next prime is 129102109. The reversal of 129102080 is 80201921.

It can be written as a sum of positive squares in 6 ways, for example, as 14868736 + 114233344 = 3856^2 + 10688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369746 + ... + 370094.

Almost surely, 2129102080 is an apocalyptic number.

129102080 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 129102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164720850).

129102080 is an abundant number, since it is smaller than the sum of its proper divisors (200339620).

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

129102080 is an equidigital number, since it uses as much as digits as its factorization.

129102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 129102080 is about 11362.3096243677. The cubic root of 129102080 is about 505.4106779288.

The spelling of 129102080 in words is "one hundred twenty-nine million, one hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 289 320 340 349 544 578 640 680 698 1088 1156 1280 1360 1396 1445 1745 2176 2312 2720 2792 2890 3490 4352 4624 5440 5584 5780 5933 6980 9248 10880 11168 11560 11866 13960 18496 21760 22336 23120 23732 27920 29665 36992 44672 46240 47464 55840 59330 73984 89344 92480 94928 100861 111680 118660 184960 189856 201722 223360 237320 369920 379712 403444 446720 474640 504305 759424 806888 949280 1008610 1518848 1613776 1898560 2017220 3227552 3797120 4034440 6455104 7594240 8068880 12910208 16137760 25820416 32275520 64551040 129102080