Search a number
-
+
117133600 = 2552146417
BaseRepresentation
bin1101111101101…
…01000100100000
322011102000002111
412332311010200
5214441233400
615342325104
72621422243
oct676650440
9264360074
10117133600
1160134231
1233289794
131b36232c
14117b125a
15a43b3ba
hex6fb5120

117133600 has 36 divisors (see below), whose sum is σ = 285954354. Its totient is φ = 46853120.

The previous prime is 117133579. The next prime is 117133619. The reversal of 117133600 is 6331711.

It can be written as a sum of positive squares in 3 ways, for example, as 104939536 + 12194064 = 10244^2 + 3492^2 .

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 5 ways as a sum of consecutive naturals, for example, 72409 + ... + 74008.

Almost surely, 2117133600 is an apocalyptic number.

117133600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117133600 is an abundant number, since it is smaller than the sum of its proper divisors (168820754).

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

117133600 is a wasteful number, since it uses less digits than its factorization.

117133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146437 (or 146424 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 117133600 is about 10822.8277266156. The cubic root of 117133600 is about 489.2834173771.

The spelling of 117133600 in words is "one hundred seventeen million, one hundred thirty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 146417 292834 585668 732085 1171336 1464170 2342672 2928340 3660425 4685344 5856680 7320850 11713360 14641700 23426720 29283400 58566800 117133600