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6890742 = 2323153233
BaseRepresentation
bin11010010010010011110110
3110222002022200
4122102103312
53231000432
6403405330
7112366425
oct32222366
913862280
106890742
113987131
122383846
131573581
14cb52bc
15911a7c
hex6924f6

6890742 has 48 divisors (see below), whose sum is σ = 15769728. Its totient is φ = 2171520.

The previous prime is 6890713. The next prime is 6890753. The reversal of 6890742 is 2470986.

It is a junction number, because it is equal to n+sod(n) for n = 6890697 and 6890706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29458 + ... + 29690.

It is an arithmetic number, because the mean of its divisors is an integer number (328536).

Almost surely, 26890742 is an apocalyptic number.

6890742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884864).

6890742 is an abundant number, since it is smaller than the sum of its proper divisors (8878986).

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

6890742 is a wasteful number, since it uses less digits than its factorization.

6890742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6890742 is about 2625.0222856197. The cubic root of 6890742 is about 190.2926422938.

The spelling of 6890742 in words is "six million, eight hundred ninety thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 233 279 318 466 477 558 699 954 1398 1643 2097 3286 4194 4929 7223 9858 12349 14446 14787 21669 24698 29574 37047 43338 65007 74094 111141 130014 222282 382819 765638 1148457 2296914 3445371 6890742