Search a number
-
+
6913872 = 24327193
BaseRepresentation
bin11010010111111101010000
3111000021001100
4122113331100
53232220442
6404104400
7112524030
oct32277520
914007040
106913872
1139a2549
122395100
131580c64
14cbd8c0
1591884c
hex697f50

6913872 has 120 divisors (see below), whose sum is σ = 23341760. Its totient is φ = 1871424.

The previous prime is 6913859. The next prime is 6913877. The reversal of 6913872 is 2783196.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6913877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363879 + ... + 363897.

Almost surely, 26913872 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 6913872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670880).

6913872 is an abundant number, since it is smaller than the sum of its proper divisors (16427888).

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

6913872 is a wasteful number, since it uses less digits than its factorization.

6913872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 31 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6913872 is about 2629.4242715849. The cubic root of 6913872 is about 190.5053215287.

The spelling of 6913872 in words is "six million, nine hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 361 399 456 504 532 684 722 798 912 1008 1064 1083 1197 1368 1444 1596 2128 2166 2394 2527 2736 2888 3192 3249 4332 4788 5054 5776 6384 6498 6859 7581 8664 9576 10108 12996 13718 15162 17328 19152 20216 20577 22743 25992 27436 30324 40432 41154 45486 48013 51984 54872 60648 61731 82308 90972 96026 109744 121296 123462 144039 164616 181944 192052 246924 288078 329232 363888 384104 432117 493848 576156 768208 864234 987696 1152312 1728468 2304624 3456936 6913872