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6671440 = 24589937
BaseRepresentation
bin11001011100110001010000
3110112221111101
4121130301100
53201441230
6354554144
7110464156
oct31346120
913487441
106671440
113847396
122298954
1314c77c9
14c593d6
158bbaca
hex65cc50

6671440 has 40 divisors (see below), whose sum is σ = 15702120. Its totient is φ = 2635776.

The previous prime is 6671411. The next prime is 6671443. The reversal of 6671440 is 441766.

6671440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 6574096 = 312^2 + 2564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×66714402 = 89016223347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6671399 and 6671408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6671443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6652 + ... + 7588.

It is an arithmetic number, because the mean of its divisors is an integer number (392553).

Almost surely, 26671440 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 6671440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851060).

6671440 is an abundant number, since it is smaller than the sum of its proper divisors (9030680).

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

6671440 is a wasteful number, since it uses less digits than its factorization.

6671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6671440 is about 2582.9130840971. The cubic root of 6671440 is about 188.2521138463.

The spelling of 6671440 in words is "six million, six hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 937 1424 1780 1874 3560 3748 4685 7120 7496 9370 14992 18740 37480 74960 83393 166786 333572 416965 667144 833930 1334288 1667860 3335720 6671440