Search a number
-
+
6694140 = 2235315961
BaseRepresentation
bin11001100010010011111100
3110121002122010
4121202103330
53203203030
6355251220
7110620305
oct31422374
913532563
106694140
113862452
1222a9b10
131504c3b
14c637ac
158c36b0
hex6624fc

6694140 has 96 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1670400.

The previous prime is 6694133. The next prime is 6694147. The reversal of 6694140 is 414966.

6694140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6694133) and next prime (6694147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6694098 and 6694107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6694147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109710 + ... + 109770.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 26694140 is an apocalyptic number.

6694140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6694140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

6694140 is an abundant number, since it is smaller than the sum of its proper divisors (13304580).

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

6694140 is a wasteful number, since it uses less digits than its factorization.

6694140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6694140 is about 2587.3036157359. The cubic root of 6694140 is about 188.4653854126.

The spelling of 6694140 in words is "six million, six hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 61 62 93 118 122 124 155 177 183 186 236 244 295 305 310 354 366 372 465 590 610 620 708 732 885 915 930 1180 1220 1770 1829 1830 1860 1891 3540 3599 3658 3660 3782 5487 5673 7198 7316 7564 9145 9455 10797 10974 11346 14396 17995 18290 18910 21594 21948 22692 27435 28365 35990 36580 37820 43188 53985 54870 56730 71980 107970 109740 111569 113460 215940 223138 334707 446276 557845 669414 1115690 1338828 1673535 2231380 3347070 6694140