Search a number
-
+
77021037 = 36105653
BaseRepresentation
bin1001001011100…
…11111101101101
312100221002000000
410211303331231
5124204133122
611350454513
71623445062
oct445637555
9170832000
1077021037
113a527055
1221964439
1312c594a2
14a32cc69
156b660ac
hex4973f6d

77021037 has 14 divisors (see below), whose sum is σ = 115479822. Its totient is φ = 51346872.

The previous prime is 77021029. The next prime is 77021047. The reversal of 77021037 is 73012077.

It can be written as a sum of positive squares in only one way, i.e., 42693156 + 34327881 = 6534^2 + 5859^2 .

It is not a de Polignac number, because 77021037 - 23 = 77021029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 77021037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 52098 + ... + 53555.

Almost surely, 277021037 is an apocalyptic number.

It is an amenable number.

77021037 is a deficient number, since it is larger than the sum of its proper divisors (38458785).

77021037 is an equidigital number, since it uses as much as digits as its factorization.

77021037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105671 (or 105656 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77021037 is about 8776.1629998536. The cubic root of 77021037 is about 425.4708267707.

The spelling of 77021037 in words is "seventy-seven million, twenty-one thousand, thirty-seven".

Divisors: 1 3 9 27 81 243 729 105653 316959 950877 2852631 8557893 25673679 77021037