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7668620 = 2253743241
BaseRepresentation
bin11101010000001110001100
3112102121100222
4131100032030
53430343440
6432210512
7122116331
oct35201614
915377328
107668620
114368603
122699a38
13178665b
141038988
15a172b5
hex75038c

7668620 has 48 divisors (see below), whose sum is σ = 16994208. Its totient is φ = 2903040.

The previous prime is 7668613. The next prime is 7668629. The reversal of 7668620 is 268667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7668629) 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, 31700 + ... + 31940.

It is an arithmetic number, because the mean of its divisors is an integer number (354046).

Almost surely, 27668620 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 7668620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497104).

7668620 is an abundant number, since it is smaller than the sum of its proper divisors (9325588).

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

7668620 is a wasteful number, since it uses less digits than its factorization.

7668620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 7668620 is about 2769.2273290577. The cubic root of 7668620 is about 197.1994681442.

The spelling of 7668620 in words is "seven million, six hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 241 370 430 482 740 860 964 1205 1591 2410 3182 4820 6364 7955 8917 10363 15910 17834 20726 31820 35668 41452 44585 51815 89170 103630 178340 207260 383431 766862 1533724 1917155 3834310 7668620