Search a number
-
+
117184968 = 2334193937
BaseRepresentation
bin1101111110000…
…01100111001000
322011111121120000
412333001213020
5214444404333
615343403000
72622025065
oct677014710
9264447500
10117184968
116016988a
12332b3460
131b37c824
14117c5c6c
15a44b713
hex6fc19c8

117184968 has 80 divisors (see below), whose sum is σ = 330279180. Its totient is φ = 38817792.

The previous prime is 117184937. The next prime is 117184979. The reversal of 117184968 is 869481711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98366724 + 18818244 = 9918^2 + 4338^2 .

It is a super-2 number, since 2×1171849682 = 27464633450322048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124596 + ... + 125532.

Almost surely, 2117184968 is an apocalyptic number.

117184968 is a gapful number since it is divisible by the number (18) 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 117184968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165139590).

117184968 is an abundant number, since it is smaller than the sum of its proper divisors (213094212).

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

117184968 is a wasteful number, since it uses less digits than its factorization.

117184968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1135 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 117184968 is about 10825.2005986032. The cubic root of 117184968 is about 489.3549306959.

The spelling of 117184968 in words is "one hundred seventeen million, one hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 324 386 579 648 772 937 1158 1544 1737 1874 2316 2811 3474 3748 4632 5211 5622 6948 7496 8433 10422 11244 13896 15633 16866 20844 22488 25299 31266 33732 41688 50598 62532 67464 75897 101196 125064 151794 180841 202392 303588 361682 542523 607176 723364 1085046 1446728 1627569 2170092 3255138 4340184 4882707 6510276 9765414 13020552 14648121 19530828 29296242 39061656 58592484 117184968