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119331680 = 25513103557
BaseRepresentation
bin1110001110011…
…01101101100000
322022112200021212
413013031231200
5221022103210
615501405252
72646205526
oct707155540
9268480255
10119331680
11613a5726
1233b69828
131b951980
1411bc4316
15a722805
hex71cdb60

119331680 has 96 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 43554816.

The previous prime is 119331629. The next prime is 119331701. The reversal of 119331680 is 86133911.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213962 + ... + 214518.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2119331680 is an apocalyptic number.

119331680 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 119331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

119331680 is an abundant number, since it is smaller than the sum of its proper divisors (187773664).

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

119331680 is a wasteful number, since it uses less digits than its factorization.

119331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 119331680 is about 10923.9040640240. The cubic root of 119331680 is about 492.3250325423.

The spelling of 119331680 in words is "one hundred nineteen million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 103 104 130 160 206 208 260 412 416 515 520 557 824 1030 1040 1114 1339 1648 2060 2080 2228 2678 2785 3296 4120 4456 5356 5570 6695 7241 8240 8912 10712 11140 13390 14482 16480 17824 21424 22280 26780 28964 36205 42848 44560 53560 57371 57928 72410 89120 107120 114742 115856 144820 214240 229484 231712 286855 289640 458968 573710 579280 745823 917936 1147420 1158560 1491646 1835872 2294840 2983292 3729115 4589680 5966584 7458230 9179360 11933168 14916460 23866336 29832920 59665840 119331680