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117437904 = 24331715991
BaseRepresentation
bin1101111111111…
…11010111010000
322011222110112000
412333333113100
5220031003104
615353034000
72624130363
oct677772720
9264873460
10117437904
1160321921
12333b5900
131b43a9ac
14118500da
15a49b639
hex6fff5d0

117437904 has 80 divisors (see below), whose sum is σ = 356941440. Its totient is φ = 36840960.

The previous prime is 117437897. The next prime is 117437909. The reversal of 117437904 is 409734711.

It is a super-2 number, since 2×1174379042 = 27583322591826432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117437909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (4461768).

Almost surely, 2117437904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117437904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178470720).

117437904 is an abundant number, since it is smaller than the sum of its proper divisors (239503536).

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

117437904 is a wasteful number, since it uses less digits than its factorization.

117437904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16025 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 117437904 is about 10836.8770409191. The cubic root of 117437904 is about 489.7067577654.

It can be divided in two parts, 117437 and 904, that added together give a triangular number (118341 = T486).

The spelling of 117437904 in words is "one hundred seventeen million, four hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 15991 31982 47973 63964 95946 127928 143919 191892 255856 271847 287838 383784 431757 543694 575676 767568 815541 863514 1087388 1151352 1631082 1727028 2174776 2302704 2446623 3262164 3454056 4349552 4893246 6524328 6908112 7339869 9786492 13048656 14679738 19572984 29359476 39145968 58718952 117437904