Search a number
-
+
67974075 = 325213171367
BaseRepresentation
bin1000000110100…
…11001110111011
311201220102220100
410003103032323
5114400132300
610424530443
71453525101
oct403231673
9151812810
1067974075
1135407a24
121a920a23
131110c660
149055c71
155e7a700
hex40d33bb

67974075 has 72 divisors (see below), whose sum is σ = 138928608. Its totient is φ = 31472640.

The previous prime is 67974061. The next prime is 67974089. The reversal of 67974075 is 57047976.

It is an interprime number because it is at equal distance from previous prime (67974061) and next prime (67974089).

It is not a de Polignac number, because 67974075 - 28 = 67973819 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 67974075.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49042 + ... + 50408.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 267974075 is an apocalyptic number.

67974075 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

67974075 is an abundant number, since it is smaller than the sum of its proper divisors (70954533).

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

67974075 is a wasteful number, since it uses less digits than its factorization.

67974075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 67974075 is about 8244.6391673620. The cubic root of 67974075 is about 408.1136325648.

The spelling of 67974075 in words is "sixty-seven million, nine hundred seventy-four thousand, seventy-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1367 1989 2925 3315 3825 4101 5525 6835 9945 12303 16575 17771 20505 23239 34175 49725 53313 61515 69717 88855 102525 116195 159939 209151 266565 302107 307575 348585 444275 580975 799695 906321 1045755 1332825 1510535 1742925 2718963 3998475 4531605 5228775 7552675 13594815 22658025 67974075