Search a number
-
+
37000081 = 314143677
BaseRepresentation
bin1000110100100…
…1001110010001
32120121210120101
42031021032101
533433000311
63401012401
7626331646
oct215111621
976553511
1037000081
1119981788
1210484101
137886251
144cb1dcd
1533acec1
hex2349391

37000081 has 16 divisors (see below), whose sum is σ = 40094208. Its totient is φ = 34070400.

The previous prime is 37000079. The next prime is 37000097. The reversal of 37000081 is 18000073.

It is a cyclic number.

It is not a de Polignac number, because 37000081 - 21 = 37000079 is a prime.

It is a super-2 number, since 2×370000812 = 2738011988013122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37000181) 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 15 ways as a sum of consecutive naturals, for example, 54315 + ... + 54991.

It is an arithmetic number, because the mean of its divisors is an integer number (2505888).

Almost surely, 237000081 is an apocalyptic number.

37000081 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

37000081 is a deficient number, since it is larger than the sum of its proper divisors (3094127).

37000081 is a wasteful number, since it uses less digits than its factorization.

37000081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 37000081 is about 6082.7691884536. The cubic root of 37000081 is about 333.2224283266. Note that the first 3 decimals are identical.

The spelling of 37000081 in words is "thirty-seven million, eighty-one", and thus it is an aban number and an uban number.

Divisors: 1 31 41 43 677 1271 1333 1763 20987 27757 29111 54653 860467 902441 1193551 37000081