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67416690 = 23511434751
BaseRepresentation
bin1000000010010…
…11001001110010
311200212010022110
410001023021302
5114224313230
610404550150
71446014055
oct401131162
9150763273
1067416690
1135067180
121a6b2356
1310c75a43
148d4ca9c
155dba4b0
hex404b272

67416690 has 64 divisors (see below), whose sum is σ = 180652032. Its totient is φ = 15960000.

The previous prime is 67416653. The next prime is 67416709. The reversal of 67416690 is 9661476.

It is a super-2 number, since 2×674166902 = 9090020181112200, which contains 22 as substring.

It is a Curzon 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, 11815 + ... + 16565.

It is an arithmetic number, because the mean of its divisors is an integer number (2822688).

Almost surely, 267416690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67416690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90326016).

67416690 is an abundant number, since it is smaller than the sum of its proper divisors (113235342).

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

67416690 is a wasteful number, since it uses less digits than its factorization.

67416690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 67416690 is about 8210.7667120678. The cubic root of 67416690 is about 406.9950638001.

It can be divided in two parts, 6741 and 6690, that added together give a palindrome (13431).

The spelling of 67416690 in words is "sixty-seven million, four hundred sixteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 4751 7095 9502 14190 14253 23755 28506 47510 52261 71265 104522 142530 156783 204293 261305 313566 408586 522610 612879 783915 1021465 1225758 1567830 2042930 2247223 3064395 4494446 6128790 6741669 11236115 13483338 22472230 33708345 67416690