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2018142 = 233719281
BaseRepresentation
bin111101100101101011110
310210112101000
413230231132
51004040032
6111131130
723103540
oct7545536
93715330
102018142
111159295
12813aa6
13558789
143a7690
1529ce7c
hex1ecb5e

2018142 has 64 divisors (see below), whose sum is σ = 5414400. Its totient is φ = 544320.

The previous prime is 2018117. The next prime is 2018153. The reversal of 2018142 is 2418102.

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 31 ways as a sum of consecutive naturals, for example, 7042 + ... + 7322.

It is an arithmetic number, because the mean of its divisors is an integer number (84600).

22018142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707200).

2018142 is an abundant number, since it is smaller than the sum of its proper divisors (3396258).

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

2018142 is a wasteful number, since it uses less digits than its factorization.

2018142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2018142 is about 1420.6132478616. The cubic root of 2018142 is about 126.3719169972.

The spelling of 2018142 in words is "two million, eighteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 281 342 378 399 513 562 798 843 1026 1197 1686 1967 2394 2529 3591 3934 5058 5339 5901 7182 7587 10678 11802 15174 16017 17703 32034 35406 37373 48051 53109 74746 96102 106218 112119 144153 224238 288306 336357 672714 1009071 2018142