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6739968 = 21131097
BaseRepresentation
bin11001101101100000000000
3110200102111110
4121231200000
53211134333
6400243320
7111201024
oct31554000
913612443
106739968
113893924
122310540
13151ca61
14c76384
158d2063
hex66d800

6739968 has 48 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 2244608.

The previous prime is 6739963. The next prime is 6739969. The reversal of 6739968 is 8699376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6739963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5596 + ... + 6692.

Almost surely, 26739968 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 6739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

6739968 is an abundant number, since it is smaller than the sum of its proper divisors (11245272).

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

6739968 is a wasteful number, since it uses less digits than its factorization.

6739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1102 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 6739968 is about 2596.1448341724. The cubic root of 6739968 is about 188.8944849297.

The spelling of 6739968 in words is "six million, seven hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1097 1536 2048 2194 3072 3291 4388 6144 6582 8776 13164 17552 26328 35104 52656 70208 105312 140416 210624 280832 421248 561664 842496 1123328 1684992 2246656 3369984 6739968