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1026466640 = 245191933499
BaseRepresentation
bin111101001011101…
…010001101010000
32122112110220111222
4331023222031100
54100233413030
6245504424212
734302552053
oct7513521520
92575426458
101026466640
11487460641
12247918068
13134875b14
149a47aa9a
15601ad3e5
hex3d2ea350

1026466640 has 80 divisors (see below), whose sum is σ = 2525880000. Its totient is φ = 386850816.

The previous prime is 1026466633. The next prime is 1026466643. The reversal of 1026466640 is 466646201.

1026466640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1026466640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026466643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291611 + ... + 295109.

It is an arithmetic number, because the mean of its divisors is an integer number (31573500).

Almost surely, 21026466640 is an apocalyptic number.

1026466640 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 1026466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262940000).

1026466640 is an abundant number, since it is smaller than the sum of its proper divisors (1499413360).

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

1026466640 is a wasteful number, since it uses less digits than its factorization.

1026466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 1026466640 is about 32038.5180681005. The cubic root of 1026466640 is about 1008.7455064862.

The spelling of 1026466640 in words is "one billion, twenty-six million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 193 304 380 386 760 772 965 1520 1544 1930 3088 3499 3667 3860 6998 7334 7720 13996 14668 15440 17495 18335 27992 29336 34990 36670 55984 58672 66481 69980 73340 132962 139960 146680 265924 279920 293360 332405 531848 664810 675307 1063696 1329620 1350614 2659240 2701228 3376535 5318480 5402456 6753070 10804912 12830833 13506140 25661666 27012280 51323332 54024560 64154165 102646664 128308330 205293328 256616660 513233320 1026466640