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67674040 = 23571012393
BaseRepresentation
bin1000000100010…
…01111110111000
311201100012022221
410002021332320
5114311032130
610414253424
71451135260
oct402117670
9151305287
1067674040
1135222565
121a7b7274
1311035c15
148db87a0
155e1b87a
hex4089fb8

67674040 has 64 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 22963200.

The previous prime is 67674037. The next prime is 67674041. The reversal of 67674040 is 4047676.

It is a junction number, because it is equal to n+sod(n) for n = 67673987 and 67674005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67674041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27084 + ... + 29476.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 267674040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

67674040 is an abundant number, since it is smaller than the sum of its proper divisors (108141320).

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

67674040 is a wasteful number, since it uses less digits than its factorization.

67674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 67674040 is about 8226.4232811107. The cubic root of 67674040 is about 407.5122808599.

The spelling of 67674040 in words is "sixty-seven million, six hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2393 2828 3535 4040 4786 5656 7070 9572 11965 14140 16751 19144 23930 28280 33502 47860 67004 83755 95720 134008 167510 241693 335020 483386 670040 966772 1208465 1691851 1933544 2416930 3383702 4833860 6767404 8459255 9667720 13534808 16918510 33837020 67674040