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129944736 = 253517983
BaseRepresentation
bin1111011111011…
…00110010100000
3100001111212200000
413233230302200
5231231212421
620521100000
73135340425
oct757546240
9301455600
10129944736
1167394449
1237627600
1320bc959c
1413387d4c
15b61c226
hex7becca0

129944736 has 144 divisors (see below), whose sum is σ = 406171584. Its totient is φ = 40725504.

The previous prime is 129944729. The next prime is 129944761. The reversal of 129944736 is 637449921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 129944691 and 129944700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131701 + ... + 132683.

It is an arithmetic number, because the mean of its divisors is an integer number (2820636).

Almost surely, 2129944736 is an apocalyptic number.

129944736 is a gapful number since it is divisible by the number (16) 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 129944736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203085792).

129944736 is an abundant number, since it is smaller than the sum of its proper divisors (276226848).

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

129944736 is an equidigital number, since it uses as much as digits as its factorization.

129944736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1005 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 129944736 is about 11399.3305066570. The cubic root of 129944736 is about 506.5079080931.

The spelling of 129944736 in words is "one hundred twenty-nine million, nine hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 983 1224 1296 1377 1632 1836 1944 1966 2448 2592 2754 2949 3672 3888 3932 4131 4896 5508 5898 7344 7776 7864 8262 8847 11016 11796 14688 15728 16524 16711 17694 22032 23592 26541 31456 33048 33422 35388 44064 47184 50133 53082 66096 66844 70776 79623 94368 100266 106164 132192 133688 141552 150399 159246 200532 212328 238869 267376 283104 300798 318492 401064 424656 451197 477738 534752 601596 636984 802128 849312 902394 955476 1203192 1273968 1353591 1604256 1804788 1910952 2406384 2547936 2707182 3609576 3821904 4060773 4812768 5414364 7219152 7643808 8121546 10828728 14438304 16243092 21657456 32486184 43314912 64972368 129944736