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1421431560 = 233257095569
BaseRepresentation
bin101010010111001…
…0101001100001000
310200001200012112100
41110232111030020
510402341302220
6353014113400
750136653223
oct12456251410
93601605470
101421431560
1166a3a762a
1233804b860
13198643683
14d6ad05ba
1584bc9d90
hex54b95308

1421431560 has 96 divisors (see below), whose sum is σ = 4626999000. Its totient is φ = 378445824.

The previous prime is 1421431559. The next prime is 1421431601. The reversal of 1421431560 is 651341241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 629909604 + 791521956 = 25098^2 + 28134^2 .

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, 252456 + ... + 258024.

Almost surely, 21421431560 is an apocalyptic number.

1421431560 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 1421431560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313499500).

1421431560 is an abundant number, since it is smaller than the sum of its proper divisors (3205567440).

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

1421431560 is a wasteful number, since it uses less digits than its factorization.

1421431560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1421431560 is about 37701.8774068348. The cubic root of 1421431560 is about 1124.3684514558.

The spelling of 1421431560 in words is "one billion, four hundred twenty-one million, four hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 1418 2127 2836 3545 4254 5569 5672 6381 7090 8508 10635 11138 12762 14180 16707 17016 21270 22276 25524 27845 28360 31905 33414 42540 44552 50121 51048 55690 63810 66828 83535 85080 100242 111380 127620 133656 167070 200484 222760 250605 255240 334140 400968 501210 668280 1002420 2004840 3948421 7896842 11845263 15793684 19742105 23690526 31587368 35535789 39484210 47381052 59226315 71071578 78968420 94762104 118452630 142143156 157936840 177678945 236905260 284286312 355357890 473810520 710715780 1421431560