Search a number
-
+
117052614 = 23773823
BaseRepresentation
bin1101111101000…
…01010011000110
322011020220000000
412332201103012
5214431140424
615340502130
72620634160
oct676412306
9264226000
10117052614
11600893a8
123324a946
131b334503
141178d930
15a4223c9
hex6fa14c6

117052614 has 64 divisors (see below), whose sum is σ = 301025280. Its totient is φ = 33434856.

The previous prime is 117052609. The next prime is 117052619. The reversal of 117052614 is 416250711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117052609) and next prime (117052619).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117052619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28707 + ... + 32529.

It is an arithmetic number, because the mean of its divisors is an integer number (4703520).

Almost surely, 2117052614 is an apocalyptic number.

117052614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117052614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150512640).

117052614 is an abundant number, since it is smaller than the sum of its proper divisors (183972666).

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

117052614 is an frugal number, since it uses more digits than its factorization.

117052614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117052614 is about 10819.0856360415. The cubic root of 117052614 is about 489.1706280988.

The spelling of 117052614 in words is "one hundred seventeen million, fifty-two thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 3823 4374 5103 7646 10206 11469 15309 22938 26761 30618 34407 53522 68814 80283 103221 160566 206442 240849 309663 481698 619326 722547 928989 1445094 1857978 2167641 2786967 4335282 5573934 6502923 8360901 13005846 16721802 19508769 39017538 58526307 117052614