Search a number
-
+
67612480 = 2651316253
BaseRepresentation
bin1000000011110…
…10111101000000
311201020001212221
410001322331000
5114302044410
610413100424
71450460635
oct401727500
9151201787
1067612480
1135190291
121a787714
1311013bb0
148da018c
155e084da
hex407af40

67612480 has 56 divisors (see below), whose sum is σ = 173397672. Its totient is φ = 24963072.

The previous prime is 67612477. The next prime is 67612481. The reversal of 67612480 is 8421676.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 64256256 = 1832^2 + 8016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67612481) 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 7 ways as a sum of consecutive naturals, for example, 3967 + ... + 12286.

It is an arithmetic number, because the mean of its divisors is an integer number (3096387).

Almost surely, 267612480 is an apocalyptic number.

It is an amenable number.

67612480 is an abundant number, since it is smaller than the sum of its proper divisors (105785192).

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

67612480 is a wasteful number, since it uses less digits than its factorization.

67612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16283 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 67612480 is about 8222.6808280512. The cubic root of 67612480 is about 407.3886782371.

The spelling of 67612480 in words is "sixty-seven million, six hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 16253 32506 65012 81265 130024 162530 211289 260048 325060 422578 520096 650120 845156 1040192 1056445 1300240 1690312 2112890 2600480 3380624 4225780 5200960 6761248 8451560 13522496 16903120 33806240 67612480