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1146401620 = 225713629891
BaseRepresentation
bin100010001010100…
…1011001101010100
32221220011020101021
41010111023031110
54321434322440
6305431210524
740260152530
oct10425131524
92856136337
101146401620
11539128561
1227bb16a44
13153679270
14ac37abc0
156a99e84a
hex4454b354

1146401620 has 48 divisors (see below), whose sum is σ = 2963011968. Its totient is φ = 362816640.

The previous prime is 1146401591. The next prime is 1146401671. The reversal of 1146401620 is 261046411.

1146401620 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 313126 + ... + 316765.

It is an arithmetic number, because the mean of its divisors is an integer number (61729416).

Almost surely, 21146401620 is an apocalyptic number.

1146401620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146401620 is an abundant number, since it is smaller than the sum of its proper divisors (1816610348).

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

1146401620 is a wasteful number, since it uses less digits than its factorization.

1146401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629920 (or 629918 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1146401620 is about 33858.5531291578. The cubic root of 1146401620 is about 1046.5956621249.

The spelling of 1146401620 in words is "one billion, one hundred forty-six million, four hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 629891 1259782 2519564 3149455 4409237 6298910 8188583 8818474 12597820 16377166 17636948 22046185 32754332 40942915 44092370 57320081 81885830 88184740 114640162 163771660 229280324 286600405 573200810 1146401620