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117077310 = 23257832239
BaseRepresentation
bin1101111101001…
…11010100111110
322011022010212200
412332213110332
5214432433220
615341212330
72621066160
oct676472476
9264263780
10117077310
11600a5a09
12332610a6
131b34281c
1411798930
15a429890
hex6fa753e

117077310 has 96 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 26426304.

The previous prime is 117077309. The next prime is 117077333. The reversal of 117077310 is 13770711.

It is a super-2 number, since 2×1170773102 = 27414193033672200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51171 + ... + 53409.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2117077310 is an apocalyptic number.

117077310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117077310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

117077310 is an abundant number, since it is smaller than the sum of its proper divisors (235158210).

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

117077310 is a wasteful number, since it uses less digits than its factorization.

117077310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The square root of 117077310 is about 10820.2268922606. The cubic root of 117077310 is about 489.2050277531.

The spelling of 117077310 in words is "one hundred seventeen million, seventy-seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2239 2490 2905 3486 3735 4478 5229 5810 6717 7470 8715 10458 11195 13434 15673 17430 20151 22390 26145 31346 33585 40302 47019 52290 67170 78365 94038 100755 141057 156730 185837 201510 235095 282114 371674 470190 557511 705285 929185 1115022 1300859 1410570 1672533 1858370 2601718 2787555 3345066 3902577 5575110 6504295 7805154 8362665 11707731 13008590 16725330 19512885 23415462 39025770 58538655 117077310