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67404 = 22341137
BaseRepresentation
bin10000011101001100
310102110110
4100131030
54124104
61240020
7400341
oct203514
9112413
1067404
1146707
1233010
13248ac
141a7c8
1514e89
hex1074c

67404 has 24 divisors (see below), whose sum is σ = 162288. Its totient is φ = 21760.

The previous prime is 67399. The next prime is 67409. The reversal of 67404 is 40476.

Added to its reverse (40476) it gives a triangular number (107880 = T464).

It is an interprime number because it is at equal distance from previous prime (67399) and next prime (67409).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (67409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (6762).

267404 is an apocalyptic number.

It is an amenable number.

67404 is an abundant number, since it is smaller than the sum of its proper divisors (94884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81144).

67404 is a wasteful number, since it uses less digits than its factorization.

67404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 67404 is about 259.6228033128. The cubic root of 67404 is about 40.6969525656.

Adding to 67404 its reverse (40476), we get a triangular number (107880 = T464).

The spelling of 67404 in words is "sixty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 12 41 82 123 137 164 246 274 411 492 548 822 1644 5617 11234 16851 22468 33702 67404