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67768536 = 23311256699
BaseRepresentation
bin1000000101000…
…01000011011000
311201111222221210
410002201003120
5114322043121
610420303120
71452010623
oct402410330
9151458853
1067768536
1135287560
121a841aa0
1311069c34
149000dba
155e39876
hex40a10d8

67768536 has 32 divisors (see below), whose sum is σ = 184824000. Its totient is φ = 20535840.

The previous prime is 67768523. The next prime is 67768537. The reversal of 67768536 is 63586776.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67768537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128086 + ... + 128613.

It is an arithmetic number, because the mean of its divisors is an integer number (5775750).

Almost surely, 267768536 is an apocalyptic number.

67768536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67768536 is an abundant number, since it is smaller than the sum of its proper divisors (117055464).

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

67768536 is a wasteful number, since it uses less digits than its factorization.

67768536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256719 (or 256715 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 67768536 is about 8232.1647213840. The cubic root of 67768536 is about 407.7018679395.

The spelling of 67768536 in words is "sixty-seven million, seven hundred sixty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 256699 513398 770097 1026796 1540194 2053592 2823689 3080388 5647378 6160776 8471067 11294756 16942134 22589512 33884268 67768536