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6140016 = 243361233
BaseRepresentation
bin10111011011000001110000
3102112221112000
4113123001300
53032440031
6335334000
7103121631
oct27330160
912487460
106140016
1135140a3
122081300
13136c95c
14b5b888
158143e6
hex5db070

6140016 has 80 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 2004480.

The previous prime is 6139999. The next prime is 6140023. The reversal of 6140016 is 6100416.

6140016 = T103 + T104 + ... + T335.

6140016 = 883 + 893 + ... + 953.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26236 + ... + 26468.

It is an arithmetic number, because the mean of its divisors is an integer number (224874).

Almost surely, 26140016 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 6140016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

6140016 is an abundant number, since it is smaller than the sum of its proper divisors (11849904).

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

6140016 is a wasteful number, since it uses less digits than its factorization.

6140016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6140016 is about 2477.9055672079. The cubic root of 6140016 is about 183.1146822144.

It can be divided in two parts, 61400 and 16, that added together give a palindrome (61416).

The spelling of 6140016 in words is "six million, one hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 233 244 366 432 466 488 549 699 732 932 976 1098 1398 1464 1647 1864 2097 2196 2796 2928 3294 3728 4194 4392 5592 6291 6588 8388 8784 11184 12582 13176 14213 16776 25164 26352 28426 33552 42639 50328 56852 85278 100656 113704 127917 170556 227408 255834 341112 383751 511668 682224 767502 1023336 1535004 2046672 3070008 6140016