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6690672 = 243297479
BaseRepresentation
bin11001100001011101110000
3110120220212200
4121201131300
53203100142
6355223200
7110604222
oct31413560
913526780
106690672
11385a88a
1222a7b00
1315034a1
14c62412
158c264c
hex661770

6690672 has 60 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 2202624.

The previous prime is 6690647. The next prime is 6690689. The reversal of 6690672 is 2760966.

It is a super-3 number, since 3×66906723 (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13729 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 26690672 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 6690672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

6690672 is an abundant number, since it is smaller than the sum of its proper divisors (12266448).

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

6690672 is a wasteful number, since it uses less digits than its factorization.

6690672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6690672 is about 2586.6333331186. The cubic root of 6690672 is about 188.4328340140.

The spelling of 6690672 in words is "six million, six hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 479 582 776 873 958 1164 1437 1552 1746 1916 2328 2874 3492 3832 4311 4656 5748 6984 7664 8622 11496 13968 17244 22992 34488 46463 68976 92926 139389 185852 278778 371704 418167 557556 743408 836334 1115112 1672668 2230224 3345336 6690672