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117746304 = 27313103229
BaseRepresentation
bin1110000010010…
…10101010000000
322012120010120020
413001022222000
5220120340204
615403413440
72626553454
oct701125200
9265503506
10117746304
11605125a5
1233524280
131b518190
14118d0664
15a50cbd9
hex704aa80

117746304 has 128 divisors (see below), whose sum is σ = 341577600. Its totient is φ = 35721216.

The previous prime is 117746303. The next prime is 117746347. The reversal of 117746304 is 403647711.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (117746303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514062 + ... + 514290.

It is an arithmetic number, because the mean of its divisors is an integer number (2668575).

Almost surely, 2117746304 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 117746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170788800).

117746304 is an abundant number, since it is smaller than the sum of its proper divisors (223831296).

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

117746304 is a wasteful number, since it uses less digits than its factorization.

117746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 117746304 is about 10851.0969030785. The cubic root of 117746304 is about 490.1350509323.

The spelling of 117746304 in words is "one hundred seventeen million, seven hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 229 309 312 384 412 416 458 618 624 687 824 832 916 1236 1248 1339 1374 1648 1664 1832 2472 2496 2678 2748 2977 3296 3664 4017 4944 4992 5356 5496 5954 6592 7328 8034 8931 9888 10712 10992 11908 13184 14656 16068 17862 19776 21424 21984 23587 23816 29312 32136 35724 39552 42848 43968 47174 47632 64272 70761 71448 85696 87936 94348 95264 128544 141522 142896 171392 188696 190528 257088 283044 285792 306631 377392 381056 514176 566088 571584 613262 754784 919893 1132176 1143168 1226524 1509568 1839786 2264352 2453048 3019136 3679572 4528704 4906096 7359144 9057408 9812192 14718288 19624384 29436576 39248768 58873152 117746304