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117276810 = 23574153257
BaseRepresentation
bin1101111110110…
…00000010001010
322011200021112120
412333120002022
5220010324220
615345352110
72622556620
oct677300212
9264607476
10117276810
1160221892
1233338636
131b3b2581
141180b510
15a468a40
hex6fd808a

117276810 has 128 divisors (see below), whose sum is σ = 337042944. Its totient is φ = 25559040.

The previous prime is 117276799. The next prime is 117276811. The reversal of 117276810 is 18672711.

It is a super-2 number, since 2×1172768102 = 27507700327552200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117276811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456202 + ... + 456458.

It is an arithmetic number, because the mean of its divisors is an integer number (2633148).

Almost surely, 2117276810 is an apocalyptic number.

117276810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117276810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168521472).

117276810 is an abundant number, since it is smaller than the sum of its proper divisors (219766134).

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

117276810 is a wasteful number, since it uses less digits than its factorization.

117276810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 117276810 is about 10829.4418138702. The cubic root of 117276810 is about 489.4827388957.

The spelling of 117276810 in words is "one hundred seventeen million, two hundred seventy-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 53 70 82 105 106 123 159 205 210 246 257 265 287 318 371 410 514 530 574 615 742 771 795 861 1113 1230 1285 1435 1542 1590 1722 1799 1855 2173 2226 2570 2870 3598 3710 3855 4305 4346 5397 5565 6519 7710 8610 8995 10537 10794 10865 11130 13038 13621 15211 17990 21074 21730 26985 27242 30422 31611 32595 40863 45633 52685 53970 63222 65190 68105 73759 76055 81726 91266 95347 105370 136210 147518 152110 158055 190694 204315 221277 228165 286041 316110 368795 408630 442554 456330 476735 558461 572082 737590 953470 1106385 1116922 1430205 1675383 2212770 2792305 2860410 3350766 3909227 5584610 7818454 8376915 11727681 16753830 19546135 23455362 39092270 58638405 117276810