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1040639040 = 263257411259
BaseRepresentation
bin111110000001101…
…110010001000000
32200112010221101200
4332001232101000
54112400422130
6251132301200
734534200030
oct7601562100
92615127350
101040639040
11494460571
12250611800
1313779885c
149c2c98c0
156155c760
hex3e06e440

1040639040 has 336 divisors, whose sum is σ = 4193804160. Its totient is φ = 231874560.

The previous prime is 1040639027. The next prime is 1040639053. The reversal of 1040639040 is 409360401.

It is an interprime number because it is at equal distance from previous prime (1040639027) and next prime (1040639053).

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

It is a super-2 number, since 2×10406390402 = 2165859223144243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1040638995 and 1040639013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825931 + ... + 827189.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 21040639040 is an apocalyptic number.

1040639040 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 1040639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096902080).

1040639040 is an abundant number, since it is smaller than the sum of its proper divisors (3153165120).

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

1040639040 is a wasteful number, since it uses less digits than its factorization.

1040639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1040639040 is about 32258.9373662556. The cubic root of 1040639040 is about 1013.3668771598.

Adding to 1040639040 its reverse (409360401), we get a palindrome (1449999441).

The spelling of 1040639040 in words is "one billion, forty million, six hundred thirty-nine thousand, forty".