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117591408 = 243211611217
BaseRepresentation
bin1110000001001…
…00110101110000
322012021021002100
413000210311300
5220100411113
615400220400
72625340044
oct700446560
9265237070
10117591408
1160417190
123346a700
131b49281c
1411890024
15a4cbd73
hex7024d70

117591408 has 120 divisors (see below), whose sum is σ = 365195376. Its totient is φ = 35020800.

The previous prime is 117591389. The next prime is 117591443. The reversal of 117591408 is 804195711.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96016 + ... + 97232.

Almost surely, 2117591408 is an apocalyptic number.

117591408 is a gapful number since it is divisible by the number (18) 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 117591408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182597688).

117591408 is an abundant number, since it is smaller than the sum of its proper divisors (247603968).

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

117591408 is a wasteful number, since it uses less digits than its factorization.

117591408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 117591408 is about 10843.9572112767. The cubic root of 117591408 is about 489.9200313757.

The spelling of 117591408 in words is "one hundred seventeen million, five hundred ninety-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1217 1342 1464 1584 2013 2196 2434 2684 2928 3651 4026 4392 4868 5368 6039 7302 8052 8784 9736 10736 10953 12078 13387 14604 16104 19472 21906 24156 26774 29208 32208 40161 43812 48312 53548 58416 74237 80322 87624 96624 107096 120483 148474 160644 175248 214192 222711 240966 296948 321288 445422 481932 593896 642576 668133 816607 890844 963864 1187792 1336266 1633214 1781688 1927728 2449821 2672532 3266428 3563376 4899642 5345064 6532856 7349463 9799284 10690128 13065712 14698926 19598568 29397852 39197136 58795704 117591408