Search a number
-
+
16045640 = 2351359523
BaseRepresentation
bin111101001101…
…011001001000
31010012012110222
4331031121020
513101430030
61331525212
7253246202
oct75153110
933165428
1016045640
11906a366
125459808
13342a580
1421b9772
15161e3e5
hexf4d648

16045640 has 64 divisors (see below), whose sum is σ = 39614400. Its totient is φ = 5812992.

The previous prime is 16045621. The next prime is 16045663. The reversal of 16045640 is 4654061.

It is a happy number.

16045640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30419 + ... + 30941.

It is an arithmetic number, because the mean of its divisors is an integer number (618975).

Almost surely, 216045640 is an apocalyptic number.

16045640 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 16045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807200).

16045640 is an abundant number, since it is smaller than the sum of its proper divisors (23568760).

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

16045640 is a wasteful number, since it uses less digits than its factorization.

16045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 16045640 is about 4005.7009374141. The cubic root of 16045640 is about 252.2235775107.

The spelling of 16045640 in words is "sixteen million, forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 523 590 767 1046 1180 1534 2092 2360 2615 3068 3835 4184 5230 6136 6799 7670 10460 13598 15340 20920 27196 30680 30857 33995 54392 61714 67990 123428 135980 154285 246856 271960 308570 401141 617140 802282 1234280 1604564 2005705 3209128 4011410 8022820 16045640