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16140384 = 253413479
BaseRepresentation
bin111101100100…
…100001100000
31010101000110000
4331210201200
513112443014
61333540000
7254122341
oct75444140
933330400
1016140384
119124567
1254a4600
133461730
1422020c8
15163c509
hexf64860

16140384 has 120 divisors (see below), whose sum is σ = 51226560. Its totient is φ = 4955904.

The previous prime is 16140343. The next prime is 16140389. The reversal of 16140384 is 48304161.

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 (16140389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33457 + ... + 33935.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 216140384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

16140384 is an abundant number, since it is smaller than the sum of its proper divisors (35086176).

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

16140384 is a wasteful number, since it uses less digits than its factorization.

16140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16140384 is about 4017.5096764040. The cubic root of 16140384 is about 252.7190348526.

The spelling of 16140384 in words is "sixteen million, one hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 479 624 648 702 864 936 958 1053 1248 1296 1404 1437 1872 1916 2106 2592 2808 2874 3744 3832 4212 4311 5616 5748 6227 7664 8424 8622 11232 11496 12454 12933 15328 16848 17244 18681 22992 24908 25866 33696 34488 37362 38799 45984 49816 51732 56043 68976 74724 77598 99632 103464 112086 137952 149448 155196 168129 199264 206928 224172 298896 310392 336258 413856 448344 504387 597792 620784 672516 896688 1008774 1241568 1345032 1793376 2017548 2690064 4035096 5380128 8070192 16140384