Search a number
-
+
117188352 = 2832192677
BaseRepresentation
bin1101111110000…
…10011100000000
322011111210012100
412333002130000
5220000011402
615343430400
72622041001
oct677023400
9264453170
10117188352
1160171386
12332b5400
131b381228
14117c71a8
15a44c71c
hex6fc2700

117188352 has 108 divisors (see below), whose sum is σ = 355799080. Its totient is φ = 36993024.

The previous prime is 117188341. The next prime is 117188369. The reversal of 117188352 is 253881711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42438 + ... + 45114.

Almost surely, 2117188352 is an apocalyptic number.

117188352 is a gapful number since it is divisible by the number (12) 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 117188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177899540).

117188352 is an abundant number, since it is smaller than the sum of its proper divisors (238610728).

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

117188352 is a wasteful number, since it uses less digits than its factorization.

117188352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2701 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 117188352 is about 10825.3568994283. The cubic root of 117188352 is about 489.3596410871.

The spelling of 117188352 in words is "one hundred seventeen million, one hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2677 2736 3648 4864 5354 5472 7296 8031 10708 10944 14592 16062 21416 21888 24093 32124 42832 43776 48186 50863 64248 85664 96372 101726 128496 152589 171328 192744 203452 256992 305178 342656 385488 406904 457767 513984 610356 685312 770976 813808 915534 1027968 1220712 1541952 1627616 1831068 2055936 2441424 3083904 3255232 3662136 4882848 6167808 6510464 7324272 9765696 13020928 14648544 19531392 29297088 39062784 58594176 117188352