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1420125600 = 253521734807
BaseRepresentation
bin101010010100101…
…0110010110100000
310122222012212002110
41110221112112200
510402023004400
6352530115320
750122603605
oct12451262640
93588185073
101420125600
11669695423
1233771bb40
131982a710a
14d68706ac
1584a1ce50
hex54a565a0

1420125600 has 144 divisors (see below), whose sum is σ = 4894561728. Its totient is φ = 356413440.

The previous prime is 1420125589. The next prime is 1420125647. The reversal of 1420125600 is 65210241.

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 23 ways as a sum of consecutive naturals, for example, 23397 + ... + 58203.

It is an arithmetic number, because the mean of its divisors is an integer number (33990012).

Almost surely, 21420125600 is an apocalyptic number.

1420125600 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 1420125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447280864).

1420125600 is an abundant number, since it is smaller than the sum of its proper divisors (3474436128).

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

1420125600 is a wasteful number, since it uses less digits than its factorization.

1420125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34847 (or 34834 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1420125600 is about 37684.5538649458. The cubic root of 1420125600 is about 1124.0240028984.

Adding to 1420125600 its reverse (65210241), we get a palindrome (1485335841).

The spelling of 1420125600 in words is "one billion, four hundred twenty million, one hundred twenty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 34807 40800 69614 104421 139228 174035 208842 278456 348070 417684 522105 556912 591719 696140 835368 870175 1044210 1113824 1183438 1392280 1670736 1740350 1775157 2088420 2366876 2610525 2784560 2958595 3341472 3480700 3550314 4176840 4733752 5221050 5569120 5917190 6961400 7100628 8353680 8875785 9467504 10442100 11834380 13922800 14201256 14792975 16707360 17751570 18935008 20884200 23668760 27845600 28402512 29585950 35503140 41768400 44378925 47337520 56805024 59171900 71006280 83536800 88757850 94675040 118343800 142012560 177515700 236687600 284025120 355031400 473375200 710062800 1420125600