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115802240 = 275237867
BaseRepresentation
bin1101110011100…
…00000010000000
322001220100210212
412321300002000
5214121132430
615254013252
72604205601
oct671600200
9261810725
10115802240
115a404a34
1232947228
131acb7348
1411545da8
15a276b95
hex6e70080

115802240 has 64 divisors (see below), whose sum is σ = 288912960. Its totient is φ = 44301312.

The previous prime is 115802233. The next prime is 115802243. The reversal of 115802240 is 42208511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (115802243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10787 + ... + 18653.

It is an arithmetic number, because the mean of its divisors is an integer number (4514265).

Almost surely, 2115802240 is an apocalyptic number.

115802240 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 115802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144456480).

115802240 is an abundant number, since it is smaller than the sum of its proper divisors (173110720).

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

115802240 is an equidigital number, since it uses as much as digits as its factorization.

115802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 115802240 is about 10761.1449204999. The cubic root of 115802240 is about 487.4225903825.

The spelling of 115802240 in words is "one hundred fifteen million, eight hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 7867 14720 15734 31468 39335 62936 78670 125872 157340 180941 251744 314680 361882 503488 629360 723764 904705 1006976 1258720 1447528 1809410 2517440 2895056 3618820 5034880 5790112 7237640 11580224 14475280 23160448 28950560 57901120 115802240