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1024420896 = 25323557017
BaseRepresentation
bin111101000011110…
…110110000100000
32122101121222021200
4331003312300200
54044222432041
6245352521200
734246301562
oct7503666040
92571558250
101024420896
11486293644
122470b0200
1313430a915
149a0a7332
155ee071b6
hex3d0f6c20

1024420896 has 36 divisors (see below), whose sum is σ = 2913197742. Its totient is φ = 341473536.

The previous prime is 1024420879. The next prime is 1024420937. The reversal of 1024420896 is 6980244201.

It can be written as a sum of positive squares in only one way, i.e., 1013530896 + 10890000 = 31836^2 + 3300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10244208962 = 2098876344322885632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1024420896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1778221 + ... + 1778796.

Almost surely, 21024420896 is an apocalyptic number.

1024420896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1024420896 is an abundant number, since it is smaller than the sum of its proper divisors (1888776846).

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

1024420896 is a wasteful number, since it uses less digits than its factorization.

1024420896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557033 (or 3557022 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1024420896 is about 32006.5758243521. The cubic root of 1024420896 is about 1008.0749188458.

The spelling of 1024420896 in words is "one billion, twenty-four million, four hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3557017 7114034 10671051 14228068 21342102 28456136 32013153 42684204 56912272 64026306 85368408 113824544 128052612 170736816 256105224 341473632 512210448 1024420896