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117281040 = 2435618011
BaseRepresentation
bin1101111110110…
…01000100010000
322011200111100020
412333121010100
5220010443130
615345423440
72622605142
oct677310420
9264614306
10117281040
1160224a88
123333ab80
131b3b4486
141180cc92
15a469e10
hex6fd9110

117281040 has 80 divisors (see below), whose sum is σ = 369577536. Its totient is φ = 30758400.

The previous prime is 117281023. The next prime is 117281069. The reversal of 117281040 is 40182711.

It is a tau number, because it is divible by the number of its divisors (80).

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 117281040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10635 + ... + 18645.

Almost surely, 2117281040 is an apocalyptic number.

117281040 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 117281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184788768).

117281040 is an abundant number, since it is smaller than the sum of its proper divisors (252296496).

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

117281040 is a wasteful number, since it uses less digits than its factorization.

117281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 117281040 is about 10829.6371130338. The cubic root of 117281040 is about 489.4886237963.

The spelling of 117281040 in words is "one hundred seventeen million, two hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 8011 14640 16022 24033 32044 40055 48066 64088 80110 96132 120165 128176 160220 192264 240330 320440 384528 480660 488671 640880 961320 977342 1466013 1922640 1954684 2443355 2932026 3909368 4886710 5864052 7330065 7818736 9773420 11728104 14660130 19546840 23456208 29320260 39093680 58640520 117281040