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142130400 = 2535259221
BaseRepresentation
bin10000111100010…
…11110011100000
3100220102222020220
420132023303200
5242341133100
622034203040
73344042226
oct1036136340
9326388226
10142130400
1173257745
123b723480
13235a4c39
1414c3ab16
15c727aa0
hex878bce0

142130400 has 72 divisors (see below), whose sum is σ = 462642264. Its totient is φ = 37900800.

The previous prime is 142130389. The next prime is 142130413. The reversal of 142130400 is 4031241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142130400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27211 + ... + 32010.

It is an arithmetic number, because the mean of its divisors is an integer number (6425587).

Almost surely, 2142130400 is an apocalyptic number.

142130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142130400 is an abundant number, since it is smaller than the sum of its proper divisors (320511864).

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

142130400 is a wasteful number, since it uses less digits than its factorization.

142130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59244 (or 59231 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 142130400 is about 11921.8454947210. The cubic root of 142130400 is about 521.8699930197.

Adding to 142130400 its reverse (4031241), we get a palindrome (146161641).

The spelling of 142130400 in words is "one hundred forty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 59221 118442 177663 236884 296105 355326 473768 592210 710652 888315 947536 1184420 1421304 1480525 1776630 1895072 2368840 2842608 2961050 3553260 4441575 4737680 5685216 5922100 7106520 8883150 9475360 11844200 14213040 17766300 23688400 28426080 35532600 47376800 71065200 142130400