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67682406 = 231117179337
BaseRepresentation
bin1000000100011…
…00000001100110
311201100121210210
410002030001212
5114311314111
610414400250
71451201541
oct402140146
9151317723
1067682406
1135228880
121a800086
131103997c
148dbb858
155e1e0a6
hex408c066

67682406 has 64 divisors (see below), whose sum is σ = 157697280. Its totient is φ = 19138560.

The previous prime is 67682359. The next prime is 67682413. The reversal of 67682406 is 60428676.

It is a congruent number.

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, 200670 + ... + 201006.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 267682406 is an apocalyptic number.

67682406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67682406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848640).

67682406 is an abundant number, since it is smaller than the sum of its proper divisors (90014874).

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

67682406 is a wasteful number, since it uses less digits than its factorization.

67682406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 67682406 is about 8226.9317488356. The cubic root of 67682406 is about 407.5290726620.

The spelling of 67682406 in words is "sixty-seven million, six hundred eighty-two thousand, four hundred six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 179 187 337 358 374 537 561 674 1011 1074 1122 1969 2022 3043 3707 3938 5729 5907 6086 7414 9129 11121 11458 11814 17187 18258 22242 33473 34374 60323 63019 66946 100419 120646 126038 180969 189057 200838 361938 378114 663553 1025491 1327106 1990659 2050982 3076473 3981318 6152946 11280401 22560802 33841203 67682406