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1030487040 = 2103251119107
BaseRepresentation
bin111101011010111…
…111110000000000
32122211001011110200
4331122333300000
54102301041130
6250130525200
734351665252
oct7532776000
92584034420
101030487040
11489757190
12249136800
13135652a5b
149ac05cd2
1560704760
hex3d6bfc00

1030487040 has 528 divisors, whose sum is σ = 4138542720. Its totient is φ = 234455040.

The previous prime is 1030486999. The next prime is 1030487047. The reversal of 1030487040 is 407840301.

It is a tau number, because it is divible by the number of its divisors (528).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1030486995 and 1030487013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030487047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9630667 + ... + 9630773.

Almost surely, 21030487040 is an apocalyptic number.

1030487040 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 1030487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069271360).

1030487040 is an abundant number, since it is smaller than the sum of its proper divisors (3108055680).

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

1030487040 is a wasteful number, since it uses less digits than its factorization.

1030487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1030487040 is about 32101.1999775709. The cubic root of 1030487040 is about 1010.0607877670.

It can be divided in two parts, 10304 and 87040, that added together give a square (97344 = 3122).

The spelling of 1030487040 in words is "one billion, thirty million, four hundred eighty-seven thousand, forty".