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117368440 = 23573711329
BaseRepresentation
bin1101111111011…
…10011001111000
322011211221020021
412333232121320
5220021242230
615351340224
72623421020
oct677563170
9264757207
10117368440
1160284712
1233381674
131b4151a7
1411832a80
15a485c7a
hex6fee678

117368440 has 64 divisors (see below), whose sum is σ = 309988800. Its totient is φ = 39149568.

The previous prime is 117368437. The next prime is 117368441. The reversal of 117368440 is 44863711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 117368396 and 117368405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117368441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4696 + ... + 16024.

It is an arithmetic number, because the mean of its divisors is an integer number (4843575).

Almost surely, 2117368440 is an apocalyptic number.

117368440 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 117368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154994400).

117368440 is an abundant number, since it is smaller than the sum of its proper divisors (192620360).

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

117368440 is a wasteful number, since it uses less digits than its factorization.

117368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 117368440 is about 10833.6715844630. The cubic root of 117368440 is about 489.6101855963.

The spelling of 117368440 in words is "one hundred seventeen million, three hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 11329 22658 45316 56645 79303 90632 113290 158606 226580 317212 396515 419173 453160 634424 793030 838346 1586060 1676692 2095865 2934211 3172120 3353384 4191730 5868422 8383460 11736844 14671055 16766920 23473688 29342110 58684220 117368440