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129369760 = 2551337412
BaseRepresentation
bin1111011011000…
…00011010100000
3100000102122221121
413231200122200
5231104313020
620500502024
73130424212
oct755403240
9300378847
10129369760
1167031463
12373aa914
1320a57970
14132785b2
15b556baa
hex7b606a0

129369760 has 144 divisors (see below), whose sum is σ = 346488408. Its totient is φ = 45342720.

The previous prime is 129369743. The next prime is 129369761. The reversal of 129369760 is 67963921.

129369760 = T481 + T482 + ... + T960.

129369760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5626384 + 123743376 = 2372^2 + 11124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129369761) 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, 3155340 + ... + 3155380.

Almost surely, 2129369760 is an apocalyptic number.

129369760 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 129369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173244204).

129369760 is an abundant number, since it is smaller than the sum of its proper divisors (217118648).

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

129369760 is a wasteful number, since it uses less digits than its factorization.

129369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 129369760 is about 11374.0828201662. The cubic root of 129369760 is about 505.7597426266.

The spelling of 129369760 in words is "one hundred twenty-nine million, three hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 41 52 65 74 80 82 104 130 148 160 164 185 205 208 260 296 328 370 410 416 481 520 533 592 656 740 820 962 1040 1066 1184 1312 1480 1517 1640 1681 1924 2080 2132 2405 2665 2960 3034 3280 3362 3848 4264 4810 5330 5920 6068 6560 6724 7585 7696 8405 8528 9620 10660 12136 13448 15170 15392 16810 17056 19240 19721 21320 21853 24272 26896 30340 33620 38480 39442 42640 43706 48544 53792 60680 62197 67240 76960 78884 85280 87412 98605 109265 121360 124394 134480 157768 174824 197210 218530 242720 248788 268960 310985 315536 349648 394420 437060 497576 621970 631072 699296 788840 808561 874120 995152 1243940 1577680 1617122 1748240 1990304 2487880 3155360 3234244 3496480 4042805 4975760 6468488 8085610 9951520 12936976 16171220 25873952 32342440 64684880 129369760