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16135140 = 2235741937
BaseRepresentation
bin111101100011…
…001111100100
31010100202020210
4331203033210
513112311030
61333455420
7254101140
oct75431744
933322223
1016135140
11912062a
1254a1570
13345c228
142200220
15163abb0
hexf633e4

16135140 has 96 divisors (see below), whose sum is σ = 52948224. Its totient is φ = 3594240.

The previous prime is 16135109. The next prime is 16135169. The reversal of 16135140 is 4153161.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16752 + ... + 17688.

It is an arithmetic number, because the mean of its divisors is an integer number (551544).

Almost surely, 216135140 is an apocalyptic number.

16135140 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 16135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26474112).

16135140 is an abundant number, since it is smaller than the sum of its proper divisors (36813084).

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

16135140 is a wasteful number, since it uses less digits than its factorization.

16135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 16135140 is about 4016.8569802770. The cubic root of 16135140 is about 252.6916624727.

The spelling of 16135140 in words is "sixteen million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 937 1148 1230 1435 1722 1874 2460 2811 2870 3444 3748 4305 4685 5622 5740 6559 8610 9370 11244 13118 14055 17220 18740 19677 26236 28110 32795 38417 39354 56220 65590 76834 78708 98385 115251 131180 153668 192085 196770 230502 268919 384170 393540 461004 537838 576255 768340 806757 1075676 1152510 1344595 1613514 2305020 2689190 3227028 4033785 5378380 8067570 16135140