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115097320 = 23513389569
BaseRepresentation
bin1101101110000…
…11111011101000
322000120112211201
412313003323220
5213431103240
615230533544
72565211462
oct667037350
9260515751
10115097320
1159a73358
12326672b4
131aacb530
1411401132
15a187d9a
hex6dc3ee8

115097320 has 64 divisors (see below), whose sum is σ = 280098000. Its totient is φ = 42313728.

The previous prime is 115097273. The next prime is 115097321. The reversal of 115097320 is 23790511.

It can be written as a sum of positive squares in 8 ways, for example, as 4384836 + 110712484 = 2094^2 + 10522^2 .

It is not an unprimeable number, because it can be changed into a prime (115097321) 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, 201996 + ... + 202564.

Almost surely, 2115097320 is an apocalyptic number.

115097320 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 115097320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

115097320 is an abundant number, since it is smaller than the sum of its proper divisors (165000680).

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

115097320 is a wasteful number, since it uses less digits than its factorization.

115097320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 115097320 is about 10728.3419035748. The cubic root of 115097320 is about 486.4315517426.

The spelling of 115097320 in words is "one hundred fifteen million, ninety-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 389 520 569 778 1138 1556 1945 2276 2845 3112 3890 4552 5057 5690 7397 7780 10114 11380 14794 15560 20228 22760 25285 29588 36985 40456 50570 59176 73970 101140 147940 202280 221341 295880 442682 885364 1106705 1770728 2213410 2877433 4426820 5754866 8853640 11509732 14387165 23019464 28774330 57548660 115097320