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1026283440 = 24357413137
BaseRepresentation
bin111101001010111…
…101011110110000
32122112010121012210
4331022331132300
54100212032230
6245500452120
734301160000
oct7512753660
92575117183
101026283440
11487345a36
1224784a040
13134810610
149a430000
1560173eb0
hex3d2bd7b0

1026283440 has 400 divisors, whose sum is σ = 4026179808. Its totient is φ = 214953984.

The previous prime is 1026283439. The next prime is 1026283471. The reversal of 1026283440 is 443826201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1026283398 and 1026283407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7491052 + ... + 7491188.

Almost surely, 21026283440 is an apocalyptic number.

1026283440 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 1026283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013089904).

1026283440 is an abundant number, since it is smaller than the sum of its proper divisors (2999896368).

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

1026283440 is a wasteful number, since it uses less digits than its factorization.

1026283440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1026283440 is about 32035.6588819397. The cubic root of 1026283440 is about 1008.6854905165.

The spelling of 1026283440 in words is "one billion, twenty-six million, two hundred eighty-three thousand, four hundred forty".