Search a number
-
+
76906921 = 7213157769
BaseRepresentation
bin1001001010110…
…00000110101001
312100201021110111
410211120012221
5124142010141
611344214321
71622461300
oct445300651
9170637414
1076906921
113a459343
122190a3a1
1312c19570
14a2dd437
156b42381
hex49581a9

76906921 has 24 divisors (see below), whose sum is σ = 97084680. Its totient is φ = 60383232.

The previous prime is 76906903. The next prime is 76906943. The reversal of 76906921 is 12960967.

It can be written as a sum of positive squares in 4 ways, for example, as 99225 + 76807696 = 315^2 + 8764^2 .

It is not a de Polignac number, because 76906921 - 211 = 76904873 is a prime.

76906921 is a modest number, since divided by 6921 gives 769 as remainder.

It is not an unprimeable number, because it can be changed into a prime (76906981) 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 23 ways as a sum of consecutive naturals, for example, 99625 + ... + 100393.

It is an arithmetic number, because the mean of its divisors is an integer number (4045195).

Almost surely, 276906921 is an apocalyptic number.

It is an amenable number.

76906921 is a deficient number, since it is larger than the sum of its proper divisors (20177759).

76906921 is a wasteful number, since it uses less digits than its factorization.

76906921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 76906921 is about 8769.6591153819. The cubic root of 76906921 is about 425.2605940448.

The spelling of 76906921 in words is "seventy-six million, nine hundred six thousand, nine hundred twenty-one".

Divisors: 1 7 13 49 91 157 637 769 1099 2041 5383 7693 9997 14287 37681 69979 100009 120733 489853 845131 1569529 5915917 10986703 76906921