Search a number
-
+
67057491 = 379523541
BaseRepresentation
bin1111111111001…
…1011101010011
311200011212120210
43333303131103
5114131314431
610353135203
71442656614
oct377633523
9150155523
1067057491
1134941316
121a55a503
1310b7b3b7
148c97c0b
155d48d46
hex3ff3753

67057491 has 16 divisors (see below), whose sum is σ = 90882560. Its totient is φ = 43973280.

The previous prime is 67057409. The next prime is 67057493. The reversal of 67057491 is 19475076.

It is not a de Polignac number, because 67057491 - 27 = 67057363 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67057493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123681 + ... + 124221.

It is an arithmetic number, because the mean of its divisors is an integer number (5680160).

Almost surely, 267057491 is an apocalyptic number.

67057491 is a deficient number, since it is larger than the sum of its proper divisors (23825069).

67057491 is a wasteful number, since it uses less digits than its factorization.

67057491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 67057491 is about 8188.8638406069. The cubic root of 67057491 is about 406.2709472118.

It can be divided in two parts, 6705 and 7491, that added together give a triangular number (14196 = T168).

The spelling of 67057491 in words is "sixty-seven million, fifty-seven thousand, four hundred ninety-one".

Divisors: 1 3 79 237 523 541 1569 1623 41317 42739 123951 128217 282943 848829 22352497 67057491