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115802720 = 25511193463
BaseRepresentation
bin1101110011100…
…00001001100000
322001220101110122
412321300021200
5214121141340
615254015412
72604210155
oct671601140
9261811418
10115802720
115a405330
1232947568
131acb7627
141154622c
15a276db5
hex6e70260

115802720 has 96 divisors (see below), whose sum is σ = 314254080. Its totient is φ = 39882240.

The previous prime is 115802719. The next prime is 115802749. The reversal of 115802720 is 27208511.

It is a self number, because there is not a number n which added to its sum of digits gives 115802720.

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 15 ways as a sum of consecutive naturals, for example, 31709 + ... + 35171.

It is an arithmetic number, because the mean of its divisors is an integer number (3273480).

Almost surely, 2115802720 is an apocalyptic number.

115802720 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 115802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157127040).

115802720 is an abundant number, since it is smaller than the sum of its proper divisors (198451360).

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

115802720 is a wasteful number, since it uses less digits than its factorization.

115802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 115802720 is about 10761.1672229364. The cubic root of 115802720 is about 487.4232638368.

The spelling of 115802720 in words is "one hundred fifteen million, eight hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 3463 4180 6688 6926 8360 13852 16720 17315 27704 33440 34630 38093 55408 65797 69260 76186 110816 131594 138520 152372 190465 263188 277040 304744 328985 380930 526376 554080 609488 657970 723767 761860 1052752 1218976 1315940 1447534 1523720 2105504 2631880 2895068 3047440 3618835 5263760 5790136 6094880 7237670 10527520 11580272 14475340 23160544 28950680 57901360 115802720