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1426162000 = 24532967367
BaseRepresentation
bin101010100000001…
…1000000101010000
310200101120112110211
41111000120011100
510410044141000
6353303333504
750225114464
oct12500300520
93611515424
101426162000
1167203868a
12339751294
1319960b853
14d75a24a4
15853117ba
hex55018150

1426162000 has 160 divisors (see below), whose sum is σ = 3630481920. Its totient is φ = 541094400.

The previous prime is 1426161991. The next prime is 1426162033. The reversal of 1426162000 is 2616241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3885817 + ... + 3886183.

It is an arithmetic number, because the mean of its divisors is an integer number (22690512).

Almost surely, 21426162000 is an apocalyptic number.

1426162000 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 1426162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815240960).

1426162000 is an abundant number, since it is smaller than the sum of its proper divisors (2204319920).

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

1426162000 is a wasteful number, since it uses less digits than its factorization.

1426162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1426162000 is about 37764.5601060041. The cubic root of 1426162000 is about 1125.6143475794.

Adding to 1426162000 its reverse (2616241), we get a palindrome (1428778241).

The spelling of 1426162000 in words is "one billion, four hundred twenty-six million, one hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 67 80 100 116 125 134 145 200 232 250 268 290 335 367 400 464 500 536 580 670 725 734 1000 1072 1160 1340 1450 1468 1675 1835 1943 2000 2320 2680 2900 2936 3350 3625 3670 3886 5360 5800 5872 6700 7250 7340 7772 8375 9175 9715 10643 11600 13400 14500 14680 15544 16750 18350 19430 21286 24589 26800 29000 29360 31088 33500 36700 38860 42572 45875 48575 49178 53215 58000 67000 73400 77720 85144 91750 97150 98356 106430 122945 134000 146800 155440 170288 183500 194300 196712 212860 242875 245890 266075 367000 388600 393424 425720 485750 491780 532150 614725 713081 734000 777200 851440 971500 983560 1064300 1229450 1330375 1426162 1943000 1967120 2128600 2458900 2660750 2852324 3073625 3565405 3886000 4257200 4917800 5321500 5704648 6147250 7130810 9835600 10643000 11409296 12294500 14261620 17827025 21286000 24589000 28523240 35654050 49178000 57046480 71308100 89135125 142616200 178270250 285232400 356540500 713081000 1426162000