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67668405 = 35719107317
BaseRepresentation
bin1000000100010…
…00100110110101
311201022220121020
410002020212311
5114310342110
610414211353
71451112660
oct402104665
9151286536
1067668405
1135219302
121a7b3b59
131103349c
148db66d7
155e19d70
hex40889b5

67668405 has 64 divisors (see below), whose sum is σ = 131880960. Its totient is φ = 28940544.

The previous prime is 67668401. The next prime is 67668407. The reversal of 67668405 is 50486676.

It is a happy number.

It is not a de Polignac number, because 67668405 - 22 = 67668401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67668401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213307 + ... + 213623.

It is an arithmetic number, because the mean of its divisors is an integer number (2060640).

Almost surely, 267668405 is an apocalyptic number.

It is an amenable number.

67668405 is a deficient number, since it is larger than the sum of its proper divisors (64212555).

67668405 is a wasteful number, since it uses less digits than its factorization.

67668405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 67668405 is about 8226.0807800556. The cubic root of 67668405 is about 407.5009697996.

The spelling of 67668405 in words is "sixty-seven million, six hundred sixty-eight thousand, four hundred five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 107 133 285 317 321 399 535 665 749 951 1585 1605 1995 2033 2219 2247 3745 4755 6023 6099 6657 10165 11095 11235 14231 18069 30115 30495 33285 33919 42161 42693 71155 90345 101757 126483 169595 210805 213465 237433 508785 632415 644461 712299 1187165 1933383 3222305 3561495 4511227 9666915 13533681 22556135 67668405