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88142400 = 2632526121
BaseRepresentation
bin1010100000011…
…11001001000000
320010212002122100
411100033021000
5140031024100
612425110400
72120124633
oct520171100
9203762570
1088142400
1145832765
1225628400
1315351588
14b9c5c1a
157b11400
hex540f240

88142400 has 126 divisors (see below), whose sum is σ = 313330082. Its totient is φ = 23500800.

The previous prime is 88142357. The next prime is 88142441. The reversal of 88142400 is 424188.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 88059456 = 288^2 + 9384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11340 + ... + 17460.

Almost surely, 288142400 is an apocalyptic number.

88142400 is a gapful number since it is divisible by the number (80) 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 88142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156665041).

88142400 is an abundant number, since it is smaller than the sum of its proper divisors (225187682).

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

88142400 is a wasteful number, since it uses less digits than its factorization.

88142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 88142400 is about 9388.4183971530. The cubic root of 88142400 is about 445.0358090950.

Adding to 88142400 its reverse (424188), we get a palindrome (88566588).

The spelling of 88142400 in words is "eighty-eight million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 6121 7200 12242 14400 18363 24484 30605 36726 48968 55089 61210 73452 91815 97936 110178 122420 146904 153025 183630 195872 220356 244840 275445 293808 306050 367260 391744 440712 459075 489680 550890 587616 612100 734520 881424 918150 979360 1101780 1175232 1224200 1377225 1469040 1762848 1836300 1958720 2203560 2448400 2754450 2938080 3525696 3672600 4407120 4896800 5508900 5876160 7345200 8814240 9793600 11017800 14690400 17628480 22035600 29380800 44071200 88142400