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117790120 = 23572193163
BaseRepresentation
bin1110000010101…
…01010110101000
322012122100200001
413001111112220
5220123240440
615404352344
72630125300
oct701252650
9265570601
10117790120
1160542508
12335456b4
131b5320c6
1411902600
15a51ab9a
hex70555a8

117790120 has 96 divisors (see below), whose sum is σ = 324626400. Its totient is φ = 38247552.

The previous prime is 117790103. The next prime is 117790133. The reversal of 117790120 is 21097711.

It is a super-2 number, since 2×1177901202 = 27749024739228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35659 + ... + 38821.

It is an arithmetic number, because the mean of its divisors is an integer number (3381525).

Almost surely, 2117790120 is an apocalyptic number.

117790120 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 117790120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162313200).

117790120 is an abundant number, since it is smaller than the sum of its proper divisors (206836280).

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

117790120 is a wasteful number, since it uses less digits than its factorization.

117790120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 117790120 is about 10853.1156816833. The cubic root of 117790120 is about 490.1958400848.

The spelling of 117790120 in words is "one hundred seventeen million, seven hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3163 3724 4655 5320 6326 7448 9310 12652 15815 18620 22141 25304 31630 37240 44282 60097 63260 88564 110705 120194 126520 154987 177128 221410 240388 300485 309974 420679 442820 480776 600970 619948 774935 841358 885640 1201940 1239896 1549870 1682716 2103395 2403880 2944753 3099740 3365432 4206790 5889506 6199480 8413580 11779012 14723765 16827160 23558024 29447530 58895060 117790120