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113963400 = 23325263313
BaseRepresentation
bin1101100101011…
…11000110001000
321221102221101200
412302233012020
5213133312100
615150344200
72552446545
oct662570610
9257387350
10113963400
1159369431
12321bb060
131a7c2385
14111c7bcc
15a011e00
hex6caf188

113963400 has 72 divisors (see below), whose sum is σ = 382733130. Its totient is φ = 30389760.

The previous prime is 113963389. The next prime is 113963401. The reversal of 113963400 is 4369311.

It can be written as a sum of positive squares in 3 ways, for example, as 101727396 + 12236004 = 10086^2 + 3498^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (113963401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29857 + ... + 33456.

Almost surely, 2113963400 is an apocalyptic number.

113963400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113963400 is an abundant number, since it is smaller than the sum of its proper divisors (268769730).

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

113963400 is a wasteful number, since it uses less digits than its factorization.

113963400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63335 (or 63323 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113963400 is about 10675.3641624068. The cubic root of 113963400 is about 484.8288622819.

The spelling of 113963400 in words is "one hundred thirteen million, nine hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 63313 126626 189939 253252 316565 379878 506504 569817 633130 759756 949695 1139634 1266260 1519512 1582825 1899390 2279268 2532520 2849085 3165650 3798780 4558536 4748475 5698170 6331300 7597560 9496950 11396340 12662600 14245425 18993900 22792680 28490850 37987800 56981700 113963400