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16013140 = 22511213509
BaseRepresentation
bin111101000101…
…011101010100
31010010112220021
4331011131110
513044410030
61331114524
7253052353
oct75053524
933115807
1016013140
119047a00
125442a44
133418840
1421ab99a
15161497a
hexf45754

16013140 has 72 divisors (see below), whose sum is σ = 39884040. Its totient is φ = 5364480.

The previous prime is 16013113. The next prime is 16013141. The reversal of 16013140 is 4131061.

It can be written as a sum of positive squares in 4 ways, for example, as 1359556 + 14653584 = 1166^2 + 3828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16013141) 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 23 ways as a sum of consecutive naturals, for example, 31206 + ... + 31714.

It is an arithmetic number, because the mean of its divisors is an integer number (553945).

Almost surely, 216013140 is an apocalyptic number.

16013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19942020).

16013140 is an abundant number, since it is smaller than the sum of its proper divisors (23870900).

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

16013140 is a wasteful number, since it uses less digits than its factorization.

16013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 16013140 is about 4001.6421629126. The cubic root of 16013140 is about 252.0531717816.

The spelling of 16013140 in words is "sixteen million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 509 572 605 715 1018 1210 1430 1573 2036 2420 2545 2860 3146 5090 5599 6292 6617 7865 10180 11198 13234 15730 22396 26468 27995 31460 33085 55990 61589 66170 72787 111980 123178 132340 145574 246356 291148 307945 363935 615890 727870 800657 1231780 1455740 1601314 3202628 4003285 8006570 16013140