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118807164 = 223272471433
BaseRepresentation
bin1110001010011…
…01101001111100
322021120000210100
413011031221330
5220403312124
615442241100
72641562400
oct705155174
9267500710
10118807164
1161077643
1233956190
131b7c9cc8
1411ac9100
15a66c1c9
hex714da7c

118807164 has 108 divisors (see below), whose sum is σ = 357031584. Its totient is φ = 33199488.

The previous prime is 118807163. The next prime is 118807177. The reversal of 118807164 is 461708811.

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 (118807163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82192 + ... + 83624.

It is an arithmetic number, because the mean of its divisors is an integer number (3305848).

Almost surely, 2118807164 is an apocalyptic number.

118807164 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 118807164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178515792).

118807164 is an abundant number, since it is smaller than the sum of its proper divisors (238224420).

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

118807164 is a wasteful number, since it uses less digits than its factorization.

118807164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 118807164 is about 10899.8699074805. The cubic root of 118807164 is about 491.6026436728.

It can be divided in two parts, 11880 and 7164, that added together give a square (19044 = 1382).

The spelling of 118807164 in words is "one hundred eighteen million, eight hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 126 141 147 188 196 252 282 294 329 423 441 564 588 658 846 882 987 1316 1433 1692 1764 1974 2303 2866 2961 3948 4299 4606 5732 5922 6909 8598 9212 10031 11844 12897 13818 17196 20062 20727 25794 27636 30093 40124 41454 51588 60186 67351 70217 82908 90279 120372 134702 140434 180558 202053 210651 269404 280868 361116 404106 421302 471457 606159 631953 808212 842604 942914 1212318 1263906 1414371 1885828 2424636 2527812 2828742 3300199 4243113 5657484 6600398 8486226 9900597 13200796 16972452 19801194 29701791 39602388 59403582 118807164