Search a number
-
+
67739340 = 22353179461
BaseRepresentation
bin1000000100110…
…01111011001100
311201110111220110
410002121323030
5114320124330
610415520020
71451526534
oct402317314
9151414813
1067739340
1135267629
121a829010
1311059866
148dd44c4
155e30db0
hex4099ecc

67739340 has 96 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 17222400.

The previous prime is 67739327. The next prime is 67739381. The reversal of 67739340 is 4393776.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146710 + ... + 147170.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 267739340 is an apocalyptic number.

67739340 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 67739340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

67739340 is an abundant number, since it is smaller than the sum of its proper divisors (130957620).

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

67739340 is a wasteful number, since it uses less digits than its factorization.

67739340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 67739340 is about 8230.3912422193. The cubic root of 67739340 is about 407.6433109049.

The spelling of 67739340 in words is "sixty-seven million, seven hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 461 465 474 620 790 922 930 948 1185 1383 1580 1844 1860 2305 2370 2449 2766 4610 4740 4898 5532 6915 7347 9220 9796 12245 13830 14291 14694 24490 27660 28582 29388 36419 36735 42873 48980 57164 71455 72838 73470 85746 109257 142910 145676 146940 171492 182095 214365 218514 285820 364190 428730 437028 546285 728380 857460 1092570 1128989 2185140 2257978 3386967 4515956 5644945 6773934 11289890 13547868 16934835 22579780 33869670 67739340