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115540480 = 295112373
BaseRepresentation
bin1101110001100…
…00001000000000
322001102001202001
412320300020000
5214034243410
615244233344
72602035466
oct670601000
9261361661
10115540480
115a246300
123283b854
131ac25163
14114b8836
15a22433a
hex6e30200

115540480 has 120 divisors (see below), whose sum is σ = 305316396. Its totient is φ = 41902080.

The previous prime is 115540471. The next prime is 115540489. The reversal of 115540480 is 84045511.

It is an interprime number because it is at equal distance from previous prime (115540471) and next prime (115540489).

It can be written as a sum of positive squares in 2 ways, for example, as 115261696 + 278784 = 10736^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (115540489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309574 + ... + 309946.

Almost surely, 2115540480 is an apocalyptic number.

115540480 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 115540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152658198).

115540480 is an abundant number, since it is smaller than the sum of its proper divisors (189775916).

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

115540480 is an equidigital number, since it uses as much as digits as its factorization.

115540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 115540480 is about 10748.9757651601. The cubic root of 115540480 is about 487.0550557779.

Adding to 115540480 its reverse (84045511), we get a palindrome (199585991).

The spelling of 115540480 in words is "one hundred fifteen million, five hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 373 440 484 512 605 640 704 746 880 968 1210 1280 1408 1492 1760 1865 1936 2420 2560 2816 2984 3520 3730 3872 4103 4840 5632 5968 7040 7460 7744 8206 9680 11936 14080 14920 15488 16412 19360 20515 23872 28160 29840 30976 32824 38720 41030 45133 47744 59680 61952 65648 77440 82060 90266 95488 119360 131296 154880 164120 180532 190976 225665 238720 262592 309760 328240 361064 451330 477440 525184 656480 722128 902660 954880 1050368 1312960 1444256 1805320 2100736 2625920 2888512 3610640 5251840 5777024 7221280 10503680 11554048 14442560 23108096 28885120 57770240 115540480