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6440260020 = 2235537327743
BaseRepresentation
bin1011111111101111…
…01001000110110100
3121121211111002212220
411333313221012310
5101142201310040
62543021042340
7315411210165
oct57767510664
917554432786
106440260020
1128053a4747
1212b89b63b0
137b836535c
1445149376c
1527a6002d0
hex17fde91b4

6440260020 has 96 divisors (see below), whose sum is σ = 18625324032. Its totient is φ = 1661856768.

The previous prime is 6440260009. The next prime is 6440260063. The reversal of 6440260020 is 200620446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218269 + ... + 246011.

It is an arithmetic number, because the mean of its divisors is an integer number (194013792).

Almost surely, 26440260020 is an apocalyptic number.

6440260020 is a gapful number since it is divisible by the number (60) 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 6440260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312662016).

6440260020 is an abundant number, since it is smaller than the sum of its proper divisors (12185064012).

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

6440260020 is a wasteful number, since it uses less digits than its factorization.

6440260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881 (or 27879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6440260020 is about 80251.2306447696. The cubic root of 6440260020 is about 1860.5205330031.

Adding to 6440260020 its reverse (200620446), we get a palindrome (6640880466).

The spelling of 6440260020 in words is "six billion, four hundred forty million, two hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 73 106 146 159 212 219 265 292 318 365 438 530 636 730 795 876 1060 1095 1460 1590 2190 3180 3869 4380 7738 11607 15476 19345 23214 27743 38690 46428 55486 58035 77380 83229 110972 116070 138715 166458 232140 277430 332916 416145 554860 832290 1470379 1664580 2025239 2940758 4050478 4411137 5881516 6075717 7351895 8100956 8822274 10126195 12151434 14703790 17644548 20252390 22055685 24302868 29407580 30378585 40504780 44111370 60757170 88222740 107337667 121514340 214675334 322013001 429350668 536688335 644026002 1073376670 1288052004 1610065005 2146753340 3220130010 6440260020