Search a number
-
+
80756137 = 71117219191
BaseRepresentation
bin1001101000000…
…11110110101001
312121221211121001
410310003312221
5131133144022
612002515001
72000262430
oct464036651
9177854531
1080756137
1141648310
1223065a61
13139665c7
14aa22117
157152b27
hex4d03da9

80756137 has 48 divisors (see below), whose sum is σ = 113172480. Its totient is φ = 55814400.

The previous prime is 80756113. The next prime is 80756141. The reversal of 80756137 is 73165708.

It is not a de Polignac number, because 80756137 - 215 = 80723369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80756096 and 80756105.

It is not an unprimeable number, because it can be changed into a prime (80754137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 422712 + ... + 422902.

It is an arithmetic number, because the mean of its divisors is an integer number (2357760).

Almost surely, 280756137 is an apocalyptic number.

It is an amenable number.

80756137 is a deficient number, since it is larger than the sum of its proper divisors (32416343).

80756137 is a wasteful number, since it uses less digits than its factorization.

80756137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 80756137 is about 8986.4418431324. The cubic root of 80756137 is about 432.2402231183.

The spelling of 80756137 in words is "eighty million, seven hundred fifty-six thousand, one hundred thirty-seven".

Divisors: 1 7 11 17 19 77 119 133 187 191 209 289 323 1309 1337 1463 2023 2101 2261 3179 3247 3553 3629 5491 14707 22253 22729 24871 25403 35717 38437 39919 55199 60401 61693 250019 279433 386393 422807 431851 607189 678623 1048781 4250323 4750361 7341467 11536591 80756137