Search a number
-
+
117312444 = 223217672861
BaseRepresentation
bin1101111111000…
…00101110111100
322011202002102100
412333200232330
5220012444234
615350225100
72623065534
oct677405674
9264662370
10117312444
1160246637
1233355190
131b3c5862
141181a4c4
15a474399
hex6fe0bbc

117312444 has 72 divisors (see below), whose sum is σ = 318781008. Its totient is φ = 36241920.

The previous prime is 117312389. The next prime is 117312457. The reversal of 117312444 is 444213711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39574 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (4427514).

Almost surely, 2117312444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159390504).

117312444 is an abundant number, since it is smaller than the sum of its proper divisors (201468564).

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

117312444 is a wasteful number, since it uses less digits than its factorization.

117312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2950 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 117312444 is about 10831.0869260661. The cubic root of 117312444 is about 489.5323095416.

The spelling of 117312444 in words is "one hundred seventeen million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 2278 2412 2861 3417 4556 5722 6834 8583 10251 11444 13668 17166 20502 25749 34332 41004 48637 51498 97274 102996 145911 191687 194548 291822 383374 437733 575061 583644 766748 875466 1150122 1725183 1750932 2300244 3258679 3450366 6517358 6900732 9776037 13034716 19552074 29328111 39104148 58656222 117312444