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117022800 = 24352113863
BaseRepresentation
bin1101111100110…
…10000001010000
322011012101002210
412332122001100
5214424212200
615340112120
72620451226
oct676320120
9264171083
10117022800
1160068a64
1233235640
131b323a7b
1411782b16
15a418650
hex6f9a050

117022800 has 120 divisors (see below), whose sum is σ = 378618624. Its totient is φ = 30894080.

The previous prime is 117022793. The next prime is 117022817. The reversal of 117022800 is 8220711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135169 + ... + 136031.

Almost surely, 2117022800 is an apocalyptic number.

117022800 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 117022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189309312).

117022800 is an abundant number, since it is smaller than the sum of its proper divisors (261595824).

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

117022800 is a wasteful number, since it uses less digits than its factorization.

117022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 117022800 is about 10817.7077054245. The cubic root of 117022800 is about 489.1290930119.

The spelling of 117022800 in words is "one hundred seventeen million, twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 863 904 1130 1200 1356 1695 1726 1808 2260 2589 2712 2825 3390 3452 4315 4520 5178 5424 5650 6780 6904 8475 8630 9040 10356 11300 12945 13560 13808 16950 17260 20712 21575 22600 25890 27120 33900 34520 41424 43150 45200 51780 64725 67800 69040 86300 97519 103560 129450 135600 172600 195038 207120 258900 292557 345200 390076 487595 517800 585114 780152 975190 1035600 1170228 1462785 1560304 1950380 2340456 2437975 2925570 3900760 4680912 4875950 5851140 7313925 7801520 9751900 11702280 14627850 19503800 23404560 29255700 39007600 58511400 117022800