Search a number
-
+
117056700 = 2232521131151
BaseRepresentation
bin1101111101000…
…10010010111100
322011021002121100
412332202102330
5214431303300
615340533100
72620652115
oct676422274
9264232540
10117056700
1160091482
1233251190
131b336327
141179120c
15a423700
hex6fa24bc

117056700 has 108 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 30912000.

The previous prime is 117056699. The next prime is 117056783. The reversal of 117056700 is 7650711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101125 + ... + 102275.

It is an arithmetic number, because the mean of its divisors is an integer number (3430336).

Almost surely, 2117056700 is an apocalyptic number.

117056700 is a gapful number since it is divisible by the number (10) 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 117056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

117056700 is an abundant number, since it is smaller than the sum of its proper divisors (253419588).

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

117056700 is a wasteful number, since it uses less digits than its factorization.

117056700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 117056700 is about 10819.2744673569. The cubic root of 117056700 is about 489.1763199208.

The spelling of 117056700 in words is "one hundred seventeen million, fifty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 113 150 180 225 226 300 339 450 452 565 678 900 1017 1130 1151 1356 1695 2034 2260 2302 2825 3390 3453 4068 4604 5085 5650 5755 6780 6906 8475 10170 10359 11300 11510 13812 16950 17265 20340 20718 23020 25425 28775 33900 34530 41436 50850 51795 57550 69060 86325 101700 103590 115100 130063 172650 207180 258975 260126 345300 390189 517950 520252 650315 780378 1035900 1170567 1300630 1560756 1950945 2341134 2601260 3251575 3901890 4682268 5852835 6503150 7803780 9754725 11705670 13006300 19509450 23411340 29264175 39018900 58528350 117056700