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1026083630 = 2511213374143
BaseRepresentation
bin111101001010001…
…100101100101110
32122111202110010102
4331022030230232
54100134134010
6245452311102
734266365315
oct7512145456
92574673112
101026083630
11487219900
12247772492
131347706a0
149a3bb27c
1560134ba5
hex3d28cb2e

1026083630 has 192 divisors, whose sum is σ = 2353627584. Its totient is φ = 319334400.

The previous prime is 1026083579. The next prime is 1026083633. The reversal of 1026083630 is 363806201.

1026083630 = T319 + T320 + ... + T1835.

It is a junction number, because it is equal to n+sod(n) for n = 1026083593 and 1026083602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026083633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23862389 + ... + 23862431.

It is an arithmetic number, because the mean of its divisors is an integer number (12258477).

Almost surely, 21026083630 is an apocalyptic number.

1026083630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1026083630 is an abundant number, since it is smaller than the sum of its proper divisors (1327543954).

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

1026083630 is a wasteful number, since it uses less digits than its factorization.

1026083630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1026083630 is about 32032.5401740168. The cubic root of 1026083630 is about 1008.6200249992.

Adding to 1026083630 its reverse (363806201), we get a palindrome (1389889831).

The spelling of 1026083630 in words is "one billion, twenty-six million, eighty-three thousand, six hundred thirty".