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1020408389 = 7211131071361
BaseRepresentation
bin111100110100100…
…011001001000101
32122010002010011022
4330310203021011
54042211032024
6245130520525
734200220400
oct7464431105
92563063138
101020408389
11483aa2a20
12245896145
13133534460
1499740d37
155e8b335e
hex3cd23245

1020408389 has 48 divisors (see below), whose sum is σ = 1408591296. Its totient is φ = 726566400.

The previous prime is 1020408383. The next prime is 1020408437. The reversal of 1020408389 is 9838040201.

It is a happy number.

It is not a de Polignac number, because 1020408389 - 224 = 1003631173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020408383) 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, 749069 + ... + 750429.

It is an arithmetic number, because the mean of its divisors is an integer number (29345652).

Almost surely, 21020408389 is an apocalyptic number.

It is an amenable number.

1020408389 is a deficient number, since it is larger than the sum of its proper divisors (388182907).

1020408389 is a wasteful number, since it uses less digits than its factorization.

1020408389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1020408389 is about 31943.8317833036. The cubic root of 1020408389 is about 1006.7570359618.

The spelling of 1020408389 in words is "one billion, twenty million, four hundred eight thousand, three hundred eighty-nine".

Divisors: 1 7 11 13 49 77 91 107 143 539 637 749 1001 1177 1361 1391 5243 7007 8239 9527 9737 14971 15301 17693 57673 66689 68159 104797 107107 123851 145627 194623 733579 749749 866957 1019389 1362361 1601897 1893151 7135723 9536527 11213279 13252057 20824661 78492953 92764399 145772627 1020408389