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1045537680 = 2435112367257
BaseRepresentation
bin111110010100011…
…010001110010000
32200212100211001210
4332110122032100
54120124201210
6251425300120
734623631545
oct7624321620
92625324053
101045537680
114971a6a30
12252194640
131387c2465
149cc02bcc
1561bc8e20
hex3e51a390

1045537680 has 320 divisors, whose sum is σ = 3759187968. Its totient is φ = 237895680.

The previous prime is 1045537663. The next prime is 1045537687. The reversal of 1045537680 is 867355401.

It is not an unprimeable number, because it can be changed into a prime (1045537687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4068112 + ... + 4068368.

Almost surely, 21045537680 is an apocalyptic number.

1045537680 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 1045537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879593984).

1045537680 is an abundant number, since it is smaller than the sum of its proper divisors (2713650288).

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

1045537680 is a wasteful number, since it uses less digits than its factorization.

1045537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1045537680 is about 32334.7750881307. The cubic root of 1045537680 is about 1014.9544755399.

The spelling of 1045537680 in words is "one billion, forty-five million, five hundred thirty-seven thousand, six hundred eighty".