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6426840 = 2335721093
BaseRepresentation
bin11000100001000011011000
3110002111222010
4120201003120
53121124330
6345425520
7105425100
oct30410330
913074863
106426840
11369a642
12219b2a0
131440384
14bd4200
1586e3b0
hex6210d8

6426840 has 96 divisors (see below), whose sum is σ = 22448880. Its totient is φ = 1467648.

The previous prime is 6426809. The next prime is 6426851. The reversal of 6426840 is 486246.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6426798 and 6426807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5334 + ... + 6426.

Almost surely, 26426840 is an apocalyptic number.

6426840 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 6426840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224440).

6426840 is an abundant number, since it is smaller than the sum of its proper divisors (16022040).

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

6426840 is a wasteful number, since it uses less digits than its factorization.

6426840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6426840 is about 2535.1212988731. The cubic root of 6426840 is about 185.9227335448.

The spelling of 6426840 in words is "six million, four hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1093 1176 1470 1960 2186 2940 3279 4372 5465 5880 6558 7651 8744 10930 13116 15302 16395 21860 22953 26232 30604 32790 38255 43720 45906 53557 61208 65580 76510 91812 107114 114765 131160 153020 160671 183624 214228 229530 267785 306040 321342 428456 459060 535570 642684 803355 918120 1071140 1285368 1606710 2142280 3213420 6426840