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84260142 = 2335359499
BaseRepresentation
bin1010000010110…
…11010100101110
312212112212012000
411001123110232
5133032311032
612205553130
72042125251
oct501332456
9185485160
1084260142
114362098a
12242757a6
13145c2495
14b295098
1575e5e7c
hex505b52e

84260142 has 64 divisors (see below), whose sum is σ = 194400000. Its totient is φ = 27035424.

The previous prime is 84260131. The next prime is 84260149. The reversal of 84260142 is 24106248.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84260149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168609 + ... + 169107.

It is an arithmetic number, because the mean of its divisors is an integer number (3037500).

Almost surely, 284260142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84260142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200000).

84260142 is an abundant number, since it is smaller than the sum of its proper divisors (110139858).

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

84260142 is a wasteful number, since it uses less digits than its factorization.

84260142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84260142 is about 9179.3323286609. The cubic root of 84260142 is about 438.4035500128.

The spelling of 84260142 in words is "eighty-four million, two hundred sixty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 59 106 118 159 177 318 354 477 499 531 954 998 1062 1431 1497 1593 2862 2994 3127 3186 4491 6254 8982 9381 13473 18762 26447 26946 28143 29441 52894 56286 58882 79341 84429 88323 158682 168858 176646 238023 264969 476046 529938 714069 794907 1428138 1560373 1589814 3120746 4681119 9362238 14043357 28086714 42130071 84260142