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129396288 = 2637432239
BaseRepresentation
bin1111011011001…
…10111001000000
3100000111000100010
413231212321000
5231111140123
620501224520
73130564440
oct755467100
9300430303
10129396288
116704a38a
1237402140
1320a66a68
1413284120
15b55e993
hex7b66e40

129396288 has 112 divisors (see below), whose sum is σ = 400547840. Its totient is φ = 36094464.

The previous prime is 129396269. The next prime is 129396301. The reversal of 129396288 is 882693921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (373248) is a multiple of the sum of its prime factors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56673 + ... + 58911.

It is an arithmetic number, because the mean of its divisors is an integer number (3576320).

Almost surely, 2129396288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200273920).

129396288 is an abundant number, since it is smaller than the sum of its proper divisors (271151552).

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

129396288 is a wasteful number, since it uses less digits than its factorization.

129396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2294 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 129396288 is about 11375.2489203533. The cubic root of 129396288 is about 505.7943098946.

The spelling of 129396288 in words is "one hundred twenty-nine million, three hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2239 2408 2752 3612 4128 4478 4816 6717 7224 8256 8956 9632 13434 14448 15673 17912 19264 26868 28896 31346 35824 47019 53736 57792 62692 71648 94038 96277 107472 125384 143296 188076 192554 214944 250768 288831 376152 385108 429888 501536 577662 673939 752304 770216 1003072 1155324 1347878 1504608 1540432 2021817 2310648 2695756 3009216 3080864 4043634 4621296 5391512 6161728 8087268 9242592 10783024 16174536 18485184 21566048 32349072 43132096 64698144 129396288