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67764390 = 23537411489
BaseRepresentation
bin1000000101000…
…00000010100110
311201111210021020
410002200002212
5114321430030
610420232010
71451662551
oct402400246
9151453236
1067764390
1135284431
121a83b606
1311068095
148ddd698
155e38510
hex40a00a6

67764390 has 64 divisors (see below), whose sum is σ = 171218880. Its totient is φ = 17141760.

The previous prime is 67764379. The next prime is 67764401. The reversal of 67764390 is 9346776.

It is an interprime number because it is at equal distance from previous prime (67764379) and next prime (67764401).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44766 + ... + 46254.

It is an arithmetic number, because the mean of its divisors is an integer number (2675295).

Almost surely, 267764390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67764390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85609440).

67764390 is an abundant number, since it is smaller than the sum of its proper divisors (103454490).

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

67764390 is a wasteful number, since it uses less digits than its factorization.

67764390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 67764390 is about 8231.9129004139. The cubic root of 67764390 is about 407.6935535283.

The spelling of 67764390 in words is "sixty-seven million, seven hundred sixty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 41 74 82 111 123 185 205 222 246 370 410 555 615 1110 1230 1489 1517 2978 3034 4467 4551 7445 7585 8934 9102 14890 15170 22335 22755 44670 45510 55093 61049 110186 122098 165279 183147 275465 305245 330558 366294 550930 610490 826395 915735 1652790 1831470 2258813 4517626 6776439 11294065 13552878 22588130 33882195 67764390