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117253104 = 24319831549
BaseRepresentation
bin1101111110100…
…10001111110000
322011122002000120
412333102033300
5220004044404
615345050240
72622430533
oct677221760
9264562016
10117253104
1160205aa1
1233326980
131b3a4847
1411802a1a
15a4619d9
hex6fd23f0

117253104 has 80 divisors (see below), whose sum is σ = 322896000. Its totient is φ = 36557568.

The previous prime is 117253099. The next prime is 117253117. The reversal of 117253104 is 401352711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 74922 + ... + 76470.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2117253104 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 117253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448000).

117253104 is an abundant number, since it is smaller than the sum of its proper divisors (205642896).

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

117253104 is a wasteful number, since it uses less digits than its factorization.

117253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 117253104 is about 10828.3472423080. The cubic root of 117253104 is about 489.4497557915.

The spelling of 117253104 in words is "one hundred seventeen million, two hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1328 1549 1577 1992 3098 3154 3984 4647 4731 6196 6308 9294 9462 12392 12616 18588 18924 24784 25232 29431 37176 37848 58862 74352 75696 88293 117724 128567 176586 235448 257134 353172 385701 470896 514268 706344 771402 1028536 1412688 1542804 2057072 2442773 3085608 4885546 6171216 7328319 9771092 14656638 19542184 29313276 39084368 58626552 117253104