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1421286400 = 2105259941
BaseRepresentation
bin101010010110111…
…0001110000000000
310200001101211102001
41110231301300000
510402322131100
6353011033344
750135510062
oct12455616000
93601354361
101421286400
1166a308566
12337b9b854
131985c2591
14d6a93732
1584b9bd6a
hex54b71c00

1421286400 has 132 divisors (see below), whose sum is σ = 3586589640. Its totient is φ = 558284800.

The previous prime is 1421286367. The next prime is 1421286401. The reversal of 1421286400 is 46821241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421286401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1509930 + ... + 1510870.

Almost surely, 21421286400 is an apocalyptic number.

1421286400 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 1421286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793294820).

1421286400 is an abundant number, since it is smaller than the sum of its proper divisors (2165303240).

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

1421286400 is an equidigital number, since it uses as much as digits as its factorization.

1421286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1421286400 is about 37699.9522546117. The cubic root of 1421286400 is about 1124.3301757518.

The spelling of 1421286400 in words is "one billion, four hundred twenty-one million, two hundred eighty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 256 295 320 400 472 512 590 640 800 941 944 1024 1180 1280 1475 1600 1882 1888 2360 2560 2950 3200 3764 3776 4705 4720 5120 5900 6400 7528 7552 9410 9440 11800 12800 15056 15104 18820 18880 23525 23600 25600 30112 30208 37640 37760 47050 47200 55519 60224 60416 75280 75520 94100 94400 111038 120448 150560 151040 188200 188800 222076 240896 277595 301120 302080 376400 377600 444152 481792 555190 602240 752800 755200 888304 963584 1110380 1204480 1387975 1505600 1510400 1776608 2220760 2408960 2775950 3011200 3553216 4441520 4817920 5551900 6022400 7106432 8883040 11103800 12044800 14212864 17766080 22207600 24089600 28425728 35532160 44415200 56851456 71064320 88830400 142128640 177660800 284257280 355321600 710643200 1421286400