Search a number
-
+
67639260 = 223513175101
BaseRepresentation
bin1000000100000…
…01011111011100
311201021102121210
410002001133130
5114303424020
610413424420
71450632003
oct402013734
9151242553
1067639260
11351a9417
121a79b110
1311023140
148da9c3a
155e113e0
hex40817dc

67639260 has 96 divisors (see below), whose sum is σ = 215998272. Its totient is φ = 15667200.

The previous prime is 67639237. The next prime is 67639261. The reversal of 67639260 is 6293676.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67639261) 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 31 ways as a sum of consecutive naturals, for example, 10710 + ... + 15810.

It is an arithmetic number, because the mean of its divisors is an integer number (2249982).

Almost surely, 267639260 is an apocalyptic number.

67639260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67639260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107999136).

67639260 is an abundant number, since it is smaller than the sum of its proper divisors (148359012).

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

67639260 is a wasteful number, since it uses less digits than its factorization.

67639260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 67639260 is about 8224.3090895224. The cubic root of 67639260 is about 407.4424574049.

The spelling of 67639260 in words is "sixty-seven million, six hundred thirty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 5101 6630 10202 13260 15303 20404 25505 30606 51010 61212 66313 76515 86717 102020 132626 153030 173434 198939 260151 265252 306060 331565 346868 397878 433585 520302 663130 795756 867170 994695 1040604 1127321 1300755 1326260 1734340 1989390 2254642 2601510 3381963 3978780 4509284 5203020 5636605 6763926 11273210 13527852 16909815 22546420 33819630 67639260