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118882680 = 23357307461
BaseRepresentation
bin1110001011000…
…00000101111000
322021200212101020
413011200011320
5220413221210
615444022440
72642325510
oct705400570
9267625336
10118882680
1161119354
1233991a20
131b8254a7
1411b08840
15a684770
hex7160178

118882680 has 128 divisors (see below), whose sum is σ = 409812480. Its totient is φ = 27025920.

The previous prime is 118882661. The next prime is 118882691. The reversal of 118882680 is 86288811.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 257650 + ... + 258110.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2118882680 is an apocalyptic number.

118882680 is a gapful number since it is divisible by the number (10) 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 118882680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

118882680 is an abundant number, since it is smaller than the sum of its proper divisors (290929800).

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

118882680 is a wasteful number, since it uses less digits than its factorization.

118882680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The square root of 118882680 is about 10903.3334352390. Note that the first 3 decimals coincide. The cubic root of 118882680 is about 491.7067788143.

The spelling of 118882680 in words is "one hundred eighteen million, eight hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 307 420 461 614 840 921 922 1228 1383 1535 1842 1844 2149 2305 2456 2766 3070 3227 3684 3688 4298 4605 4610 5532 6140 6447 6454 6915 7368 8596 9210 9220 9681 10745 11064 12280 12894 12908 13830 16135 17192 18420 18440 19362 21490 25788 25816 27660 32235 32270 36840 38724 42980 48405 51576 55320 64470 64540 77448 85960 96810 128940 129080 141527 193620 257880 283054 387240 424581 566108 707635 849162 990689 1132216 1415270 1698324 1981378 2122905 2830540 2972067 3396648 3962756 4245810 4953445 5661080 5944134 7925512 8491620 9906890 11888268 14860335 16983240 19813780 23776536 29720670 39627560 59441340 118882680