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117914100 = 22352232743
BaseRepresentation
bin1110000011100…
…11100111110100
322012212122201220
413001303213310
5220141222400
615411150340
72631152613
oct701634764
9265778656
10117914100
1160617677
12335a53b0
131b576675
141193587a
15a5427a0
hex70739f4

117914100 has 108 divisors (see below), whose sum is σ = 357122976. Its totient is φ = 30036160.

The previous prime is 117914089. The next prime is 117914131. The reversal of 117914100 is 1419711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158329 + ... + 159071.

Almost surely, 2117914100 is an apocalyptic number.

117914100 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 117914100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561488).

117914100 is an abundant number, since it is smaller than the sum of its proper divisors (239208876).

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

117914100 is a wasteful number, since it uses less digits than its factorization.

117914100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 117914100 is about 10858.8259033838. The cubic root of 117914100 is about 490.3677650023.

The spelling of 117914100 in words is "one hundred seventeen million, nine hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 529 575 690 743 1058 1150 1380 1486 1587 1725 2116 2229 2300 2645 2972 3174 3450 3715 4458 5290 6348 6900 7430 7935 8916 10580 11145 13225 14860 15870 17089 18575 22290 26450 31740 34178 37150 39675 44580 51267 52900 55725 68356 74300 79350 85445 102534 111450 158700 170890 205068 222900 256335 341780 393047 427225 512670 786094 854450 1025340 1179141 1281675 1572188 1708900 1965235 2358282 2563350 3930470 4716564 5126700 5895705 7860940 9826175 11791410 19652350 23582820 29478525 39304700 58957050 117914100