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115363400 = 23522331809
BaseRepresentation
bin1101110000001…
…00111001001000
322001002001211112
412320010321020
5214013112100
615240345452
72600400305
oct670047110
9261061745
10115363400
115a135259
1232775288
131ab92689
14114700ac
15a1dbb35
hex6e04e48

115363400 has 96 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 42662400.

The previous prime is 115363393. The next prime is 115363403. The reversal of 115363400 is 4363511.

It is a happy number.

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 (115363403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142196 + ... + 143004.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2115363400 is an apocalyptic number.

115363400 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 115363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

115363400 is an abundant number, since it is smaller than the sum of its proper divisors (173903800).

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

115363400 is a wasteful number, since it uses less digits than its factorization.

115363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 115363400 is about 10740.7355427829. The cubic root of 115363400 is about 486.8061046207.

The spelling of 115363400 in words is "one hundred fifteen million, three hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 155 184 200 230 248 310 460 575 620 713 775 809 920 1150 1240 1426 1550 1618 2300 2852 3100 3236 3565 4045 4600 5704 6200 6472 7130 8090 14260 16180 17825 18607 20225 25079 28520 32360 35650 37214 40450 50158 71300 74428 80900 93035 100316 125395 142600 148856 161800 186070 200632 250790 372140 465175 501580 576817 626975 744280 930350 1003160 1153634 1253950 1860700 2307268 2507900 2884085 3721400 4614536 5015800 5768170 11536340 14420425 23072680 28840850 57681700 115363400