Search a number
-
+
6402396 = 22371113241
BaseRepresentation
bin11000011011000101011100
3110001021102210
4120123011130
53114334041
6345120420
7105263610
oct30330534
913037383
106402396
113683240
122189110
131432200
14bc9340
15867016
hex61b15c

6402396 has 144 divisors (see below), whose sum is σ = 20659968. Its totient is φ = 1497600.

The previous prime is 6402391. The next prime is 6402401. The reversal of 6402396 is 6932046.

It is an interprime number because it is at equal distance from previous prime (6402391) and next prime (6402401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156136 + ... + 156176.

It is an arithmetic number, because the mean of its divisors is an integer number (143472).

Almost surely, 26402396 is an apocalyptic number.

6402396 is a gapful number since it is divisible by the number (66) 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 6402396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329984).

6402396 is an abundant number, since it is smaller than the sum of its proper divisors (14257572).

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

6402396 is a wasteful number, since it uses less digits than its factorization.

6402396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6402396 is about 2530.2956349012. The cubic root of 6402396 is about 185.6867197180.

The spelling of 6402396 in words is "six million, four hundred two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 41 42 44 52 66 77 78 82 84 91 123 132 143 154 156 164 169 182 231 246 273 286 287 308 338 364 429 451 462 492 507 533 546 572 574 676 858 861 902 924 1001 1014 1066 1092 1148 1183 1353 1599 1716 1722 1804 1859 2002 2028 2132 2366 2706 3003 3157 3198 3444 3549 3718 3731 4004 4732 5412 5577 5863 6006 6314 6396 6929 7098 7436 7462 9471 11154 11193 11726 12012 12628 13013 13858 14196 14924 17589 18942 20787 22308 22386 23452 26026 27716 35178 37884 39039 41041 41574 44772 48503 52052 70356 76219 78078 82082 83148 97006 123123 145509 152438 156156 164164 194012 228657 246246 291018 304876 457314 492492 533533 582036 914628 1067066 1600599 2134132 3201198 6402396