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1382670656 = 26178111567
BaseRepresentation
bin101001001101001…
…1110000101000000
310120100201221120022
41102122132011000
510312430430111
6345111233012
746156335533
oct12232360500
93510657508
101382670656
1164a532a24
12327078768
131905c1b23
14d18c0a1a
15815c02db
hex5269e140

1382670656 has 56 divisors (see below), whose sum is σ = 2910571776. Its totient is φ = 649451520.

The previous prime is 1382670637. The next prime is 1382670677. The reversal of 1382670656 is 6560762831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881585 + ... + 883151.

It is an arithmetic number, because the mean of its divisors is an integer number (51974496).

Almost surely, 21382670656 is an apocalyptic number.

1382670656 is a gapful number since it is divisible by the number (16) 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 1382670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455285888).

1382670656 is an abundant number, since it is smaller than the sum of its proper divisors (1527901120).

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

1382670656 is a wasteful number, since it uses less digits than its factorization.

1382670656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 1382670656 is about 37184.2796891375. The cubic root of 1382670656 is about 1114.0540163569.

The spelling of 1382670656 in words is "one billion, three hundred eighty-two million, six hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 811 1088 1567 1622 3134 3244 6268 6488 12536 12976 13787 25072 25952 26639 27574 50144 51904 53278 55148 100288 106556 110296 213112 220592 426224 441184 852448 882368 1270837 1704896 2541674 5083348 10166696 20333392 21604229 40666784 43208458 81333568 86416916 172833832 345667664 691335328 1382670656