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117849168 = 2435171783
BaseRepresentation
bin1110000011000…
…11110001010000
322012202100200000
413001203301100
5220132133133
615405530000
72630462403
oct701436120
9265670600
10117849168
1160582908
1233573900
131b552c48
1411919d3a
15a52d413
hex7063c50

117849168 has 120 divisors (see below), whose sum is σ = 362351808. Its totient is φ = 36951552.

The previous prime is 117849161. The next prime is 117849203. The reversal of 117849168 is 861948711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117849161) 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, 65205 + ... + 66987.

Almost surely, 2117849168 is an apocalyptic number.

117849168 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 117849168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181175904).

117849168 is an abundant number, since it is smaller than the sum of its proper divisors (244502640).

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

117849168 is a wasteful number, since it uses less digits than its factorization.

117849168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1805 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 117849168 is about 10855.8356656685. The cubic root of 117849168 is about 490.2777378665.

The spelling of 117849168 in words is "one hundred seventeen million, eight hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1783 1836 1944 2448 2754 3566 3672 3888 4131 5349 5508 7132 7344 8262 10698 11016 14264 16047 16524 21396 22032 28528 30311 32094 33048 42792 48141 60622 64188 66096 85584 90933 96282 121244 128376 144423 181866 192564 242488 256752 272799 288846 363732 385128 433269 484976 545598 577692 727464 770256 818397 866538 1091196 1155384 1454928 1636794 1733076 2182392 2310768 2455191 3273588 3466152 4364784 4910382 6547176 6932304 7365573 9820764 13094352 14731146 19641528 29462292 39283056 58924584 117849168