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6742036 = 2271922329
BaseRepresentation
bin11001101110000000010100
3110200112100001
4121232000110
53211221121
6400301044
7111210040
oct31560024
913615301
106742036
113895434
122311784
131520992
14c77020
158d2991
hex66e014

6742036 has 72 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 2528064.

The previous prime is 6742003. The next prime is 6742037. The reversal of 6742036 is 6302476.

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

It is a junction number, because it is equal to n+sod(n) for n = 6741995 and 6742013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232470 + ... + 232498.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

Almost surely, 26742036 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 6742036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

6742036 is an abundant number, since it is smaller than the sum of its proper divisors (8619884).

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

6742036 is a wasteful number, since it uses less digits than its factorization.

6742036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 6742036 is about 2596.5430864902. The cubic root of 6742036 is about 188.9138022246.

The spelling of 6742036 in words is "six million, seven hundred forty-two thousand, thirty-six".

Divisors: 1 2 4 7 14 19 23 28 29 38 46 58 76 92 116 133 161 203 266 322 361 406 437 532 551 644 667 722 812 874 1102 1334 1444 1748 2204 2527 2668 3059 3857 4669 5054 6118 7714 8303 9338 10108 10469 12236 12673 15428 16606 18676 20938 25346 33212 41876 50692 58121 73283 88711 116242 146566 177422 232484 240787 293132 354844 481574 963148 1685509 3371018 6742036