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16202142 = 23211243173
BaseRepresentation
bin111101110011…
…100110011110
31010111011011100
4331303212132
513121432032
61335133530
7254500365
oct75634636
933434140
1016202142
119166a00
1255142a6
133483888
14221a7dc
15165097c
hexf7399e

16202142 has 72 divisors (see below), whose sum is σ = 39711672. Its totient is φ = 4767840.

The previous prime is 16202113. The next prime is 16202159. The reversal of 16202142 is 24120261.

16202142 is a `hidden beast` number, since 1 + 620 + 2 + 1 + 42 = 666.

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 35 ways as a sum of consecutive naturals, for example, 93568 + ... + 93740.

It is an arithmetic number, because the mean of its divisors is an integer number (551551).

Almost surely, 216202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19855836).

16202142 is an abundant number, since it is smaller than the sum of its proper divisors (23509530).

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

16202142 is a wasteful number, since it uses less digits than its factorization.

16202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16202142 is about 4025.1884427937. The cubic root of 16202142 is about 253.0409511532.

The spelling of 16202142 in words is "sixteen million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 173 198 242 258 346 363 387 473 519 726 774 946 1038 1089 1419 1557 1903 2178 2838 3114 3806 4257 5203 5709 7439 8514 10406 11418 14878 15609 17127 20933 22317 31218 34254 41866 44634 46827 62799 66951 81829 93654 125598 133902 163658 188397 245487 376794 490974 736461 900119 1472922 1800238 2700357 5400714 8101071 16202142