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115134400 = 2652227317
BaseRepresentation
bin1101101110011…
…00111111000000
322000122102201001
412313030333000
5213433300100
615231421344
72565424543
oct667147700
9260572631
10115134400
1159a991a7
1232684854
131ab12384
141141085a
15a193d6a
hex6dccfc0

115134400 has 84 divisors (see below), whose sum is σ = 285448248. Its totient is φ = 45706240.

The previous prime is 115134373. The next prime is 115134407. The reversal of 115134400 is 4431511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115134407) 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, 363042 + ... + 363358.

Almost surely, 2115134400 is an apocalyptic number.

115134400 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 115134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142724124).

115134400 is an abundant number, since it is smaller than the sum of its proper divisors (170313848).

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

115134400 is a wasteful number, since it uses less digits than its factorization.

115134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 115134400 is about 10730.0698972560. The cubic root of 115134400 is about 486.4837827455.

Adding to 115134400 its reverse (4431511), we get a palindrome (119565911).

The spelling of 115134400 in words is "one hundred fifteen million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 227 317 320 400 454 634 800 908 1135 1268 1585 1600 1816 2270 2536 3170 3632 4540 5072 5675 6340 7264 7925 9080 10144 11350 12680 14528 15850 18160 20288 22700 25360 31700 36320 45400 50720 63400 71959 72640 90800 101440 126800 143918 181600 253600 287836 359795 363200 507200 575672 719590 1151344 1439180 1798975 2302688 2878360 3597950 4605376 5756720 7195900 11513440 14391800 23026880 28783600 57567200 115134400