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16401140 = 2257193607
BaseRepresentation
bin111110100100…
…001011110100
31010212021010122
4332210023310
513144314030
61343311112
7256256510
oct76441364
933767118
1016401140
119292468
1255ab498
133523322
14226d140
15168e8e5
hexfa42f4

16401140 has 48 divisors (see below), whose sum is σ = 39631872. Its totient is φ = 5584896.

The previous prime is 16401137. The next prime is 16401149. The reversal of 16401140 is 4110461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16401149) 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 15 ways as a sum of consecutive naturals, for example, 26717 + ... + 27323.

It is an arithmetic number, because the mean of its divisors is an integer number (825664).

Almost surely, 216401140 is an apocalyptic number.

16401140 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 16401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815936).

16401140 is an abundant number, since it is smaller than the sum of its proper divisors (23230732).

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

16401140 is a wasteful number, since it uses less digits than its factorization.

16401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 16401140 is about 4049.8320952849. The cubic root of 16401140 is about 254.0727053322.

The spelling of 16401140 in words is "sixteen million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 607 772 965 1214 1351 1930 2428 2702 3035 3860 4249 5404 6070 6755 8498 12140 13510 16996 21245 27020 42490 84980 117151 234302 468604 585755 820057 1171510 1640114 2343020 3280228 4100285 8200570 16401140