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1045922640 = 2435721931151
BaseRepresentation
bin111110010101111…
…000001101010000
32200220002101010120
4332111320031100
54120224011030
6251441430240
734630124100
oct7625701520
92626071116
101045922640
1149743a184
1225233b380
131388c8749
149cca3200
1561c53010
hex3e578350

1045922640 has 480 divisors, whose sum is σ = 4125450240. Its totient is φ = 217728000.

The previous prime is 1045922629. The next prime is 1045922651. The reversal of 1045922640 is 462295401.

1045922640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045922629) and next prime (1045922651).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6926565 + ... + 6926715.

It is an arithmetic number, because the mean of its divisors is an integer number (8594688).

Almost surely, 21045922640 is an apocalyptic number.

1045922640 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 1045922640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062725120).

1045922640 is an abundant number, since it is smaller than the sum of its proper divisors (3079527600).

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

1045922640 is a wasteful number, since it uses less digits than its factorization.

1045922640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1045922640 is about 32340.7272645499. The cubic root of 1045922640 is about 1015.0790267443.

The spelling of 1045922640 in words is "one billion, forty-five million, nine hundred twenty-two thousand, six hundred forty".