Search a number
-
+
72856340 = 2253642817
BaseRepresentation
bin1000101011110…
…11001100010100
312002002111002222
410111323030110
5122122400330
611121321512
71543161104
oct425731424
9162074088
1072856340
1138142057
1220496298
131212b97b
149967204
1565e20e5
hex457b314

72856340 has 12 divisors (see below), whose sum is σ = 152998356. Its totient is φ = 29142528.

The previous prime is 72856337. The next prime is 72856391. The reversal of 72856340 is 4365827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31047184 + 41809156 = 5572^2 + 6466^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72856340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1821389 + ... + 1821428.

It is an arithmetic number, because the mean of its divisors is an integer number (12749863).

Almost surely, 272856340 is an apocalyptic number.

It is an amenable number.

72856340 is an abundant number, since it is smaller than the sum of its proper divisors (80142016).

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

72856340 is a wasteful number, since it uses less digits than its factorization.

72856340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642826 (or 3642824 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 72856340 is about 8535.5925394784. The cubic root of 72856340 is about 417.6595825815.

The spelling of 72856340 in words is "seventy-two million, eight hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3642817 7285634 14571268 18214085 36428170 72856340