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6790420 = 2257213241
BaseRepresentation
bin11001111001110100010100
3110202222201001
4121321310110
53214243140
6401313044
7111501100
oct31716424
913688631
106790420
11391881a
122335784
131539a00
14c8a900
158e1e9a
hex679d14

6790420 has 108 divisors (see below), whose sum is σ = 18400284. Its totient is φ = 2096640.

The previous prime is 6790411. The next prime is 6790471. The reversal of 6790420 is 240976.

6790420 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 3678724 = 1764^2 + 1918^2 .

It is a super-2 number, since 2×67904202 = 92219607552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165600 + ... + 165640.

It is an arithmetic number, because the mean of its divisors is an integer number (170373).

Almost surely, 26790420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6790420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200142).

6790420 is an abundant number, since it is smaller than the sum of its proper divisors (11609864).

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

6790420 is a wasteful number, since it uses less digits than its factorization.

6790420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 6790420 is about 2605.8434335163. The cubic root of 6790420 is about 189.3646367052.

The spelling of 6790420 in words is "six million, seven hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 49 52 65 70 82 91 98 130 140 164 169 182 196 205 245 260 287 338 364 410 455 490 533 574 637 676 820 845 910 980 1066 1148 1183 1274 1435 1690 1820 2009 2132 2366 2548 2665 2870 3185 3380 3731 4018 4732 5330 5740 5915 6370 6929 7462 8036 8281 10045 10660 11830 12740 13858 14924 16562 18655 20090 23660 26117 27716 33124 34645 37310 40180 41405 48503 52234 69290 74620 82810 97006 104468 130585 138580 165620 194012 242515 261170 339521 485030 522340 679042 970060 1358084 1697605 3395210 6790420