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67727340 = 2234597431
BaseRepresentation
bin1000000100101…
…10111111101100
311201102220110000
410002112333230
5114314233330
610415344300
71451446542
oct402267754
9151386400
1067727340
113525960a
121a822090
1311054265
148dcdd92
155e2c560
hex4096fec

67727340 has 120 divisors (see below), whose sum is σ = 215151552. Its totient is φ = 17832960.

The previous prime is 67727327. The next prime is 67727357. The reversal of 67727340 is 4372776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67727295 and 67727304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156925 + ... + 157355.

Almost surely, 267727340 is an apocalyptic number.

67727340 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 67727340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575776).

67727340 is an abundant number, since it is smaller than the sum of its proper divisors (147424212).

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

67727340 is a wasteful number, since it uses less digits than its factorization.

67727340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 67727340 is about 8229.6622044893. The cubic root of 67727340 is about 407.6192381941.

The spelling of 67727340 in words is "sixty-seven million, seven hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 270 291 324 388 405 431 485 540 582 810 862 873 970 1164 1293 1455 1620 1724 1746 1940 2155 2586 2619 2910 3492 3879 4310 4365 5172 5238 5820 6465 7758 7857 8620 8730 10476 11637 12930 13095 15516 15714 17460 19395 23274 25860 26190 31428 34911 38790 39285 41807 46548 52380 58185 69822 77580 78570 83614 116370 125421 139644 157140 167228 174555 209035 232740 250842 349110 376263 418070 501684 627105 698220 752526 836140 1128789 1254210 1505052 1881315 2257578 2508420 3386367 3762630 4515156 5643945 6772734 7525260 11287890 13545468 16931835 22575780 33863670 67727340