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117811408 = 241121331151
BaseRepresentation
bin1110000010110…
…10100011010000
322012200102212111
413001122203100
5220124431113
615405035104
72630244331
oct701324320
9265612774
10117811408
1160557500
1233555a94
131b53b9c0
141190a288
15a52213d
hex705a8d0

117811408 has 120 divisors (see below), whose sum is σ = 280759808. Its totient is φ = 47520000.

The previous prime is 117811403. The next prime is 117811417. The reversal of 117811408 is 804118711.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 117811408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117811403) by changing a digit.

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, 780133 + ... + 780283.

Almost surely, 2117811408 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 117811408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140379904).

117811408 is an abundant number, since it is smaller than the sum of its proper divisors (162948400).

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

117811408 is a wasteful number, since it uses less digits than its factorization.

117811408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 31.

The square root of 117811408 is about 10854.0963695740. The cubic root of 117811408 is about 490.2253690483.

The spelling of 117811408 in words is "one hundred seventeen million, eight hundred eleven thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 121 124 143 151 176 208 242 248 286 302 341 403 484 496 572 604 682 806 968 1144 1208 1364 1573 1612 1661 1936 1963 2288 2416 2728 3146 3224 3322 3751 3926 4433 4681 5456 6292 6448 6644 7502 7852 8866 9362 12584 13288 15004 15704 17732 18271 18724 21593 25168 26576 30008 31408 35464 36542 37448 43186 48763 51491 60016 60853 70928 73084 74896 86372 97526 102982 121706 146168 172744 195052 205964 237523 243412 292336 345488 390104 411928 475046 486824 566401 669383 780208 823856 950092 973648 1132802 1338766 1900184 2265604 2677532 3800368 4531208 5355064 7363213 9062416 10710128 14726426 29452852 58905704 117811408