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117636200 = 23521124861
BaseRepresentation
bin1110000001011…
…11110001101000
322012100112112022
413000233301220
5220103324300
615401204012
72625614453
oct700576150
9265315468
10117636200
1160447900
1233490608
131b4aa026
14118a249a
15a4da285
hex702fc68

117636200 has 72 divisors (see below), whose sum is σ = 300690390. Its totient is φ = 42768000.

The previous prime is 117636119. The next prime is 117636217. The reversal of 117636200 is 2636711.

It can be written as a sum of positive squares in 3 ways, for example, as 108284836 + 9351364 = 10406^2 + 3058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117636200.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 21770 + ... + 26630.

Almost surely, 2117636200 is an apocalyptic number.

117636200 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 117636200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150345195).

117636200 is an abundant number, since it is smaller than the sum of its proper divisors (183054190).

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

117636200 is a wasteful number, since it uses less digits than its factorization.

117636200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 117636200 is about 10846.0223123503. The cubic root of 117636200 is about 489.9822289820.

The spelling of 117636200 in words is "one hundred seventeen million, six hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 4861 6050 9722 12100 19444 24200 24305 38888 48610 53471 97220 106942 121525 194440 213884 243050 267355 427768 486100 534710 588181 972200 1069420 1176362 1336775 2138840 2352724 2673550 2940905 4705448 5347100 5881810 10694200 11763620 14704525 23527240 29409050 58818100 117636200