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1425032000 = 2653725447
BaseRepresentation
bin101010011110000…
…0100001101000000
310200022110010101222
41110330010031000
510404302011000
6353223214212
750212400150
oct12474041500
93608403358
101425032000
116714366a7
123392a7368
13199304402
14d738a760
158518ba85
hex54f04340

1425032000 has 112 divisors (see below), whose sum is σ = 4033406208. Its totient is φ = 488563200.

The previous prime is 1425031943. The next prime is 1425032029. The reversal of 1425032000 is 2305241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1425032000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43277 + ... + 68723.

Almost surely, 21425032000 is an apocalyptic number.

1425032000 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 1425032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016703104).

1425032000 is an abundant number, since it is smaller than the sum of its proper divisors (2608374208).

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

1425032000 is an equidigital number, since it uses as much as digits as its factorization.

1425032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25481 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1425032000 is about 37749.5960243285. The cubic root of 1425032000 is about 1125.3169806378.

Adding to 1425032000 its reverse (2305241), we get a palindrome (1427337241).

The spelling of 1425032000 in words is "one billion, four hundred twenty-five million, thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 25447 28000 50894 56000 101788 127235 178129 203576 254470 356258 407152 508940 636175 712516 814304 890645 1017880 1272350 1425032 1628608 1781290 2035760 2544700 2850064 3180875 3562580 4071520 4453225 5089400 5700128 6361750 7125160 8143040 8906450 10178800 11400256 12723500 14250320 17812900 20357600 22266125 25447000 28500640 35625800 40715200 44532250 50894000 57001280 71251600 89064500 101788000 142503200 178129000 203576000 285006400 356258000 712516000 1425032000