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1422912960 = 26335723361
BaseRepresentation
bin101010011001111…
…1110110111000000
310200011110110122000
41110303332313000
510403231203320
6353105544000
750155363200
oct12463766700
93604413560
101422912960
11670219627
12338645000
13198a41a41
14d6d98400
1584dbdc90
hex54cfedc0

1422912960 has 336 divisors, whose sum is σ = 5841004320. Its totient is φ = 325140480.

The previous prime is 1422912943. The next prime is 1422912973. The reversal of 1422912960 is 692192241.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421680 + ... + 425040.

Almost surely, 21422912960 is an apocalyptic number.

1422912960 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 1422912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920502160).

1422912960 is an abundant number, since it is smaller than the sum of its proper divisors (4418091360).

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

1422912960 is a wasteful number, since it uses less digits than its factorization.

1422912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1422912960 is about 37721.5185272279. The cubic root of 1422912960 is about 1124.7589172296.

The spelling of 1422912960 in words is "one billion, four hundred twenty-two million, nine hundred twelve thousand, nine hundred sixty".