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67990260 = 223513671301
BaseRepresentation
bin1000000110101…
…11001011110100
311201221021002210
410003113023310
5114401142020
610425133420
71453623222
oct403271364
9151837083
1067990260
11354190a8
121a92a270
1311116b30
14905bb12
155e803e0
hex40d72f4

67990260 has 96 divisors (see below), whose sum is σ = 208236672. Its totient is φ = 16473600.

The previous prime is 67990249. The next prime is 67990309. The reversal of 67990260 is 6209976.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51610 + ... + 52910.

It is an arithmetic number, because the mean of its divisors is an integer number (2169132).

Almost surely, 267990260 is an apocalyptic number.

67990260 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 67990260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104118336).

67990260 is an abundant number, since it is smaller than the sum of its proper divisors (140246412).

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

67990260 is a wasteful number, since it uses less digits than its factorization.

67990260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 67990260 is about 8245.6206558391. The cubic root of 67990260 is about 408.1460213589.

The spelling of 67990260 in words is "sixty-seven million, nine hundred ninety thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1301 1340 1742 2010 2602 2613 3484 3903 4020 4355 5204 5226 6505 7806 8710 10452 13010 13065 15612 16913 17420 19515 26020 26130 33826 39030 50739 52260 67652 78060 84565 87167 101478 169130 174334 202956 253695 261501 338260 348668 435835 507390 523002 871670 1014780 1046004 1133171 1307505 1743340 2266342 2615010 3399513 4532684 5230020 5665855 6799026 11331710 13598052 16997565 22663420 33995130 67990260