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2414142 = 232711889
BaseRepresentation
bin1001001101011000111110
311112122120200
421031120332
51104223032
6123424330
726343213
oct11153076
94478520
102414142
1113a9865
129850a6
13666ab3
1446bb0a
1532a47c
hex24d63e

2414142 has 24 divisors (see below), whose sum is σ = 5307120. Its totient is φ = 792960.

The previous prime is 2414131. The next prime is 2414171.

2414142 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

22414142 is an apocalyptic number.

2414142 is an abundant number, since it is smaller than the sum of its proper divisors (2892978).

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

2414142 is a wasteful number, since it uses less digits than its factorization.

2414142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1965 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2414142 is about 1553.7509452934. The cubic root of 2414142 is about 134.1490507501.

It can be divided in two parts, 2414 and 142, that added together give a triangular number (2556 = T71).

The spelling of 2414142 in words is "two million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 1889 3778 5667 11334 17001 34002 134119 268238 402357 804714 1207071 2414142