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115425200 = 24521137709
BaseRepresentation
bin1101110000100…
…11111110110000
322001012012121102
412320103332300
5214022101300
615241543532
72601045422
oct670237660
9261165542
10115425200
115a177730
12327a4ba8
131abb4847
1411488812
15a2000d5
hex6e13fb0

115425200 has 120 divisors (see below), whose sum is σ = 311133360. Its totient is φ = 40780800.

The previous prime is 115425179. The next prime is 115425203. The reversal of 115425200 is 2524511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115425203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162446 + ... + 163154.

It is an arithmetic number, because the mean of its divisors is an integer number (2592778).

Almost surely, 2115425200 is an apocalyptic number.

115425200 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 115425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155566680).

115425200 is an abundant number, since it is smaller than the sum of its proper divisors (195708160).

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

115425200 is a wasteful number, since it uses less digits than its factorization.

115425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 115425200 is about 10743.6120555426. The cubic root of 115425200 is about 486.8930162027.

Adding to 115425200 its reverse (2524511), we get a palindrome (117949711).

The spelling of 115425200 in words is "one hundred fifteen million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 148 176 185 200 220 275 296 370 400 407 440 550 592 709 740 814 880 925 1100 1418 1480 1628 1850 2035 2200 2836 2960 3256 3545 3700 4070 4400 5672 6512 7090 7400 7799 8140 10175 11344 14180 14800 15598 16280 17725 20350 26233 28360 31196 32560 35450 38995 40700 52466 56720 62392 70900 77990 81400 104932 124784 131165 141800 155980 162800 194975 209864 262330 283600 288563 311960 389950 419728 524660 577126 623920 655825 779900 1049320 1154252 1311650 1442815 1559800 2098640 2308504 2623300 2885630 3119600 4617008 5246600 5771260 7214075 10493200 11542520 14428150 23085040 28856300 57712600 115425200