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117041640 = 23351974951
BaseRepresentation
bin1101111100111…
…10100111101000
322011020022221120
412332132213220
5214430313030
615340335240
72620560162
oct676364750
9264208846
10117041640
1160081131
1233244520
131b32c511
1411789932
15a41e010
hex6f9e9e8

117041640 has 64 divisors (see below), whose sum is σ = 352978560. Its totient is φ = 31046400.

The previous prime is 117041633. The next prime is 117041677. The reversal of 117041640 is 46140711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117041640.

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 15 ways as a sum of consecutive naturals, for example, 21165 + ... + 26115.

It is an arithmetic number, because the mean of its divisors is an integer number (5515290).

Almost surely, 2117041640 is an apocalyptic number.

117041640 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 117041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176489280).

117041640 is an abundant number, since it is smaller than the sum of its proper divisors (235936920).

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

117041640 is a wasteful number, since it uses less digits than its factorization.

117041640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 117041640 is about 10818.5784648446. The cubic root of 117041640 is about 489.1553405968.

The spelling of 117041640 in words is "one hundred seventeen million, forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 4951 5910 7880 9902 11820 14853 19804 23640 24755 29706 39608 49510 59412 74265 99020 118824 148530 198040 297060 594120 975347 1950694 2926041 3901388 4876735 5852082 7802776 9753470 11704164 14630205 19506940 23408328 29260410 39013880 58520820 117041640