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67771368 = 23327472861
BaseRepresentation
bin1000000101000…
…01101111101000
311201112010211200
410002201233220
5114322140433
610420324200
71452022110
oct402415750
9151463750
1067771368
11352896a5
121a843660
131106b302
149002040
155e3a613
hex40a1be8

67771368 has 96 divisors (see below), whose sum is σ = 214306560. Its totient is φ = 18944640.

The previous prime is 67771351. The next prime is 67771373. The reversal of 67771368 is 86317776.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22258 + ... + 25118.

It is an arithmetic number, because the mean of its divisors is an integer number (2232360).

Almost surely, 267771368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67771368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107153280).

67771368 is an abundant number, since it is smaller than the sum of its proper divisors (146535192).

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

67771368 is a wasteful number, since it uses less digits than its factorization.

67771368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2920 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 67771368 is about 8232.3367278070. The cubic root of 67771368 is about 407.7075470529.

The spelling of 67771368 in words is "sixty-seven million, seven hundred seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2861 2961 3384 3948 5722 5922 7896 8583 11444 11844 17166 20027 22888 23688 25749 34332 40054 51498 60081 68664 80108 102996 120162 134467 160216 180243 205992 240324 268934 360486 403401 480648 537868 720972 806802 941269 1075736 1210203 1441944 1613604 1882538 2420406 2823807 3227208 3765076 4840812 5647614 7530152 8471421 9681624 11295228 16942842 22590456 33885684 67771368