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117291104 = 25721931127
BaseRepresentation
bin1101111110110…
…11100001100000
322011201000010222
412333123201200
5220011303404
615345542212
72622646400
oct677334140
9264630128
10117291104
11602315a7
1233344968
131b3b8c28
1411812800
15a46cdbe
hex6fdb860

117291104 has 144 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 45722880.

The previous prime is 117291101. The next prime is 117291107. The reversal of 117291104 is 401192711.

It is an interprime number because it is at equal distance from previous prime (117291101) and next prime (117291107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117291101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923489 + ... + 923615.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 2117291104 is an apocalyptic number.

117291104 is a gapful number since it is divisible by the number (14) 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 117291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

117291104 is an abundant number, since it is smaller than the sum of its proper divisors (176883616).

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

117291104 is a wasteful number, since it uses less digits than its factorization.

117291104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 117291104 is about 10830.1017539079. The cubic root of 117291104 is about 489.5026245606.

The spelling of 117291104 in words is "one hundred seventeen million, two hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 127 133 152 196 217 224 248 254 266 304 392 434 496 508 532 589 608 784 868 889 931 992 1016 1064 1178 1519 1568 1736 1778 1862 2032 2128 2356 2413 3038 3472 3556 3724 3937 4064 4123 4256 4712 4826 6076 6223 6944 7112 7448 7874 8246 9424 9652 12152 12446 14224 14896 15748 16492 16891 18848 19304 24304 24892 27559 28448 28861 29792 31496 32984 33782 38608 48608 49784 55118 57722 62992 65968 67564 74803 77216 99568 110236 115444 118237 125984 131936 135128 149606 192913 199136 220472 230888 236474 270256 299212 385826 440944 461776 472948 523621 540512 598424 771652 881888 923552 945896 1047242 1196848 1543304 1891792 2094484 2393696 3086608 3665347 3783584 4188968 6173216 7330694 8377936 14661388 16755872 29322776 58645552 117291104