Search a number
-
+
666774040 = 235313714533
BaseRepresentation
bin100111101111100…
…010101000011000
31201110122122000211
4213233202220120
52331143232130
6150055140504
722344325432
oct4757425030
91643578024
10666774040
11312416229
12167374734
13a81a7c6a
14647a9652
153d80ca2a
hex27be2a18

666774040 has 64 divisors (see below), whose sum is σ = 1590600960. Its totient is φ = 251112960.

The previous prime is 666774019. The next prime is 666774047. The reversal of 666774040 is 40477666.

666774040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 666773984 and 666774002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666774047) 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, 38614 + ... + 53146.

It is an arithmetic number, because the mean of its divisors is an integer number (24853140).

Almost surely, 2666774040 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 666774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795300480).

666774040 is an abundant number, since it is smaller than the sum of its proper divisors (923826920).

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

666774040 is a wasteful number, since it uses less digits than its factorization.

666774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 666774040 is about 25821.9681666600. The cubic root of 666774040 is about 873.6273618419.

The spelling of 666774040 in words is "six hundred sixty-six million, seven hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 248 296 310 370 620 740 1147 1240 1480 2294 4588 5735 9176 11470 14533 22940 29066 45880 58132 72665 116264 145330 290660 450523 537721 581320 901046 1075442 1802092 2150884 2252615 2688605 3604184 4301768 4505230 5377210 9010460 10754420 16669351 18020920 21508840 33338702 66677404 83346755 133354808 166693510 333387020 666774040