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117842200 = 23527412053
BaseRepresentation
bin1110000011000…
…10000100011000
322012202000002221
413001202010120
5220131422300
615405433424
72630433160
oct701420430
9265660087
10117842200
1160578653
123356b874
131b54ca18
14119175a0
15a52b31a
hex7062118

117842200 has 96 divisors (see below), whose sum is σ = 320916960. Its totient is φ = 39398400.

The previous prime is 117842177. The next prime is 117842201. The reversal of 117842200 is 2248711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117842201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56374 + ... + 58426.

It is an arithmetic number, because the mean of its divisors is an integer number (3342885).

Almost surely, 2117842200 is an apocalyptic number.

117842200 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 117842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160458480).

117842200 is an abundant number, since it is smaller than the sum of its proper divisors (203074760).

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

117842200 is a wasteful number, since it uses less digits than its factorization.

117842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 117842200 is about 10855.5147275475. The cubic root of 117842200 is about 490.2680748861.

The spelling of 117842200 in words is "one hundred seventeen million, eight hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2053 2296 2870 4100 4106 5740 7175 8200 8212 10265 11480 14350 14371 16424 20530 28700 28742 41060 51325 57400 57484 71855 82120 84173 102650 114968 143710 168346 205300 287420 336692 359275 410600 420865 574840 589211 673384 718550 841730 1178422 1437100 1683460 2104325 2356844 2874200 2946055 3366920 4208650 4713688 5892110 8417300 11784220 14730275 16834600 23568440 29460550 58921100 117842200