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16730142 = 231113173137
BaseRepresentation
bin111111110100…
…100000011110
31011110222102220
4333310200132
513240331032
61354330210
7262126632
oct77644036
934428386
1016730142
119497670
125729966
133609cc0
142316dc2
15170712c
hexff481e

16730142 has 128 divisors (see below), whose sum is σ = 44126208. Its totient is φ = 4147200.

The previous prime is 16730137. The next prime is 16730143. The reversal of 16730142 is 24103761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16730143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452148 + ... + 452184.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 216730142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16730142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

16730142 is an abundant number, since it is smaller than the sum of its proper divisors (27396066).

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

16730142 is a wasteful number, since it uses less digits than its factorization.

16730142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 16730142 is about 4090.2496256341. The cubic root of 16730142 is about 255.7603449709.

The spelling of 16730142 in words is "sixteen million, seven hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 17 22 26 31 33 34 37 39 51 62 66 74 78 93 102 111 143 186 187 221 222 286 341 374 403 407 429 442 481 527 561 629 663 682 806 814 858 962 1023 1054 1122 1147 1209 1221 1258 1326 1443 1581 1887 2046 2294 2418 2431 2442 2886 3162 3441 3774 4433 4862 5291 5797 6851 6882 6919 7293 8177 8866 10582 11594 12617 13299 13702 13838 14586 14911 15873 16354 17391 19499 20553 20757 24531 25234 26598 29822 31746 34782 37851 38998 41106 41514 44733 49062 58497 75361 75702 89466 89947 116994 150722 164021 179894 214489 226083 253487 269841 328042 428978 452166 492063 506974 539682 643467 760461 984126 1286934 1520922 2788357 5576714 8365071 16730142