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6942144 = 2631119173
BaseRepresentation
bin11010011110110111000000
3111001200211110
4122132313000
53234122034
6404443320
7113002326
oct32366700
914050743
106942144
113a11810
1223a9540
131590aa1
14cc9d16
15921de9
hex69edc0

6942144 has 112 divisors (see below), whose sum is σ = 21214080. Its totient is φ = 1981440.

The previous prime is 6942121. The next prime is 6942149. The reversal of 6942144 is 4412496.

6942144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6942149) 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, 40042 + ... + 40214.

Almost surely, 26942144 is an apocalyptic number.

6942144 is a gapful number since it is divisible by the number (64) 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 6942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607040).

6942144 is an abundant number, since it is smaller than the sum of its proper divisors (14271936).

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

6942144 is a wasteful number, since it uses less digits than its factorization.

6942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 6942144 is about 2634.7948686757. The cubic root of 6942144 is about 190.7646379534.

The spelling of 6942144 in words is "six million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 173 176 192 209 228 264 304 346 352 418 456 519 528 608 627 692 704 836 912 1038 1056 1216 1254 1384 1672 1824 1903 2076 2112 2508 2768 3287 3344 3648 3806 4152 5016 5536 5709 6574 6688 7612 8304 9861 10032 11072 11418 13148 13376 15224 16608 19722 20064 22836 26296 30448 33216 36157 39444 40128 45672 52592 60896 72314 78888 91344 105184 108471 121792 144628 157776 182688 210368 216942 289256 315552 365376 433884 578512 631104 867768 1157024 1735536 2314048 3471072 6942144