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117516700 = 22527229827
BaseRepresentation
bin1110000000100…
…10100110011100
322012010110121101
413000102212130
5220041013300
615354442444
72624606200
oct700224634
9265113541
10117516700
1160376044
1233433424
131b467812
1411870b00
15a4b4b6a
hex701299c

117516700 has 108 divisors (see below), whose sum is σ = 307245960. Its totient is φ = 38855040.

The previous prime is 117516697. The next prime is 117516739. The reversal of 117516700 is 7615711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141687 + ... + 142513.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2117516700 is an apocalyptic number.

117516700 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 117516700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153622980).

117516700 is an abundant number, since it is smaller than the sum of its proper divisors (189729260).

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

117516700 is a wasteful number, since it uses less digits than its factorization.

117516700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 117516700 is about 10840.5119805293. The cubic root of 117516700 is about 489.8162576387.

The spelling of 117516700 in words is "one hundred seventeen million, five hundred sixteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 350 406 490 580 700 725 812 827 980 1015 1225 1421 1450 1654 2030 2450 2842 2900 3308 4060 4135 4900 5075 5684 5789 7105 8270 10150 11578 14210 16540 20300 20675 23156 23983 28420 28945 35525 40523 41350 47966 57890 71050 81046 82700 95932 115780 119915 142100 144725 162092 167881 202615 239830 289450 335762 405230 479660 578900 599575 671524 810460 839405 1013075 1175167 1199150 1678810 2026150 2350334 2398300 3357620 4052300 4197025 4700668 5875835 8394050 11751670 16788100 23503340 29379175 58758350 117516700