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1424668160 = 2951793109
BaseRepresentation
bin101010011101010…
…1011011000000000
310200021202122022102
41110322223120000
510404203340120
6353211325532
750206323326
oct12472533000
93607678272
101424668160
11671208303
123391508a8
13199207916
14d72d3d16
1585118d75
hex54eab600

1424668160 has 80 divisors (see below), whose sum is σ = 3436052400. Its totient is φ = 566501376.

The previous prime is 1424668159. The next prime is 1424668169. The reversal of 1424668160 is 618664241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14246681602 = 4059358732235571200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424668169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 456686 + ... + 459794.

It is an arithmetic number, because the mean of its divisors is an integer number (42950655).

Almost surely, 21424668160 is an apocalyptic number.

1424668160 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 1424668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718026200).

1424668160 is an abundant number, since it is smaller than the sum of its proper divisors (2011384240).

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

1424668160 is an equidigital number, since it uses as much as digits as its factorization.

1424668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1424668160 is about 37744.7765922651. The cubic root of 1424668160 is about 1125.2212002902.

The spelling of 1424668160 in words is "one billion, four hundred twenty-four million, six hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 256 320 358 512 640 716 895 1280 1432 1790 2560 2864 3109 3580 5728 6218 7160 11456 12436 14320 15545 22912 24872 28640 31090 45824 49744 57280 62180 91648 99488 114560 124360 198976 229120 248720 397952 458240 497440 556511 795904 994880 1113022 1591808 1989760 2226044 2782555 3979520 4452088 5565110 7959040 8904176 11130220 17808352 22260440 35616704 44520880 71233408 89041760 142466816 178083520 284933632 356167040 712334080 1424668160