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1026430080 = 273513174159
BaseRepresentation
bin111101001011100…
…001010010000000
32122112102001100220
4331023201102000
54100231230310
6245503543040
734302340344
oct7513412200
92575361326
101026430080
11487436125
122478baa80
131348622a0
149a46b624
15601a2670
hex3d2e1480

1026430080 has 512 divisors, whose sum is σ = 3886444800. Its totient is φ = 228065280.

The previous prime is 1026430079. The next prime is 1026430087. The reversal of 1026430080 is 800346201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1026430080.

It is not an unprimeable number, because it can be changed into a prime (1026430087) 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, 17397091 + ... + 17397149.

Almost surely, 21026430080 is an apocalyptic number.

1026430080 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 1026430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943222400).

1026430080 is an abundant number, since it is smaller than the sum of its proper divisors (2860014720).

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

1026430080 is a wasteful number, since it uses less digits than its factorization.

1026430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1026430080 is about 32037.9474998009. The cubic root of 1026430080 is about 1008.7335300705.

Adding to 1026430080 its reverse (800346201), we get a palindrome (1826776281).

The spelling of 1026430080 in words is "one billion, twenty-six million, four hundred thirty thousand, eighty".