Search a number
-
+
117041634 = 232171941491
BaseRepresentation
bin1101111100111…
…10100111100010
322011020022221100
412332132213202
5214430313014
615340335230
72620560153
oct676364742
9264208840
10117041634
1160081126
1233244516
131b32c508
141178992a
15a41e009
hex6f9e9e2

117041634 has 96 divisors (see below), whose sum is σ = 290122560. Its totient is φ = 33868800.

The previous prime is 117041633. The next prime is 117041677. The reversal of 117041634 is 436140711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 117041598 and 117041607.

It is not an unprimeable number, because it can be changed into a prime (117041633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 238129 + ... + 238619.

It is an arithmetic number, because the mean of its divisors is an integer number (3022110).

Almost surely, 2117041634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117041634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

117041634 is an abundant number, since it is smaller than the sum of its proper divisors (173080926).

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

117041634 is a wasteful number, since it uses less digits than its factorization.

117041634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117041634 is about 10818.5781875439. The cubic root of 117041634 is about 489.1553322381.

The spelling of 117041634 in words is "one hundred seventeen million, forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 41 51 57 82 102 114 123 153 171 246 306 323 342 369 491 646 697 738 779 969 982 1394 1473 1558 1938 2091 2337 2907 2946 4182 4419 4674 5814 6273 7011 8347 8838 9329 12546 13243 14022 16694 18658 20131 25041 26486 27987 39729 40262 50082 55974 60393 75123 79458 83961 119187 120786 150246 158593 167922 181179 238374 317186 342227 362358 382489 475779 684454 764978 951558 1026681 1147467 1427337 2053362 2294934 2854674 3080043 3442401 6160086 6502313 6884802 13004626 19506939 39013878 58520817 117041634