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1040420460 = 223582121121
BaseRepresentation
bin111110000000111…
…000111001101100
32200111201211120010
4332000320321230
54112321423320
6251123453220
734532266542
oct7600707154
92614654503
101040420460
11494321322
12250527210
13137720211
149c26dd92
1561517ae0
hex3e038e6c

1040420460 has 48 divisors (see below), whose sum is σ = 2916863712. Its totient is φ = 277094400.

The previous prime is 1040420431. The next prime is 1040420461. The reversal of 1040420460 is 640240401.

1040420460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10404204602 = 2164949467173223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040420461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38700 + ... + 59820.

It is an arithmetic number, because the mean of its divisors is an integer number (60767994).

Almost surely, 21040420460 is an apocalyptic number.

1040420460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040420460 is an abundant number, since it is smaller than the sum of its proper divisors (1876443252).

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

1040420460 is a wasteful number, since it uses less digits than its factorization.

1040420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21954 (or 21952 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1040420460 is about 32255.5492900059. The cubic root of 1040420460 is about 1013.2959216432.

Adding to 1040420460 its reverse (640240401), we get a palindrome (1680660861).

The spelling of 1040420460 in words is "one billion, forty million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 821 1642 2463 3284 4105 4926 8210 9852 12315 16420 21121 24630 42242 49260 63363 84484 105605 126726 211210 253452 316815 422420 633630 1267260 17340341 34680682 52021023 69361364 86701705 104042046 173403410 208084092 260105115 346806820 520210230 1040420460