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6960042 = 2321947433
BaseRepresentation
bin11010100011001110101010
3111002121101100
4122203032222
53240210132
6405102230
7113105445
oct32431652
914077340
106960042
113a24201
1223b7976
131598c8b
14cd265c
1592737c
hex6a33aa

6960042 has 48 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 2146176.

The previous prime is 6960017. The next prime is 6960049. The reversal of 6960042 is 2400696.

It is a junction number, because it is equal to n+sod(n) for n = 6959988 and 6960015.

It is not an unprimeable number, because it can be changed into a prime (6960049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15858 + ... + 16290.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 26960042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

6960042 is an abundant number, since it is smaller than the sum of its proper divisors (9288918).

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

6960042 is a wasteful number, since it uses less digits than its factorization.

6960042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6960042 is about 2638.1891516720. The cubic root of 6960042 is about 190.9284382371.

The spelling of 6960042 in words is "six million, nine hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 433 846 866 893 1299 1786 2598 2679 3897 5358 7794 8037 8227 16074 16454 20351 24681 40702 49362 61053 74043 122106 148086 183159 366318 386669 773338 1160007 2320014 3480021 6960042