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1146425280 = 2635711131193
BaseRepresentation
bin100010001010101…
…0000111111000000
32221220012102211120
41010111100333000
54321441102110
6305431512240
740260311520
oct10425207700
92856172746
101146425280
11539144310
1227bb28680
13153686c70
14ac385680
156a9a6870
hex44550fc0

1146425280 has 448 divisors, whose sum is σ = 4891235328. Its totient is φ = 219709440.

The previous prime is 1146425257. The next prime is 1146425297. The reversal of 1146425280 is 825246411.

It is a happy number.

1146425280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960364 + ... + 961556.

It is an arithmetic number, because the mean of its divisors is an integer number (10917936).

Almost surely, 21146425280 is an apocalyptic number.

1146425280 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 1146425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445617664).

1146425280 is an abundant number, since it is smaller than the sum of its proper divisors (3744810048).

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

1146425280 is a wasteful number, since it uses less digits than its factorization.

1146425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1146425280 is about 33858.9025220842. The cubic root of 1146425280 is about 1046.6028621272.

It can be divided in two parts, 1146 and 425280, that added together give a triangular number (426426 = T923).

The spelling of 1146425280 in words is "one billion, one hundred forty-six million, four hundred twenty-five thousand, two hundred eighty".