Search a number
-
+
204060640 = 25571671091
BaseRepresentation
bin11000010100110…
…11011111100000
3112012222100120111
430022123133200
5404214420030
632125421104
75025325660
oct1412333740
9465870514
10204060640
11a5206863
125840a794
1333379654
141d15c1a0
1512dac62a
hexc29b7e0

204060640 has 96 divisors (see below), whose sum is σ = 554770944. Its totient is φ = 69480960.

The previous prime is 204060629. The next prime is 204060643. The reversal of 204060640 is 46060402.

204060640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204060643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186495 + ... + 187585.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2204060640 is an apocalyptic number.

204060640 is a gapful number since it is divisible by the number (20) 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 204060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

204060640 is an abundant number, since it is smaller than the sum of its proper divisors (350710304).

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

204060640 is a wasteful number, since it uses less digits than its factorization.

204060640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 204060640 is about 14284.9795239615. The cubic root of 204060640 is about 588.7348549047.

The spelling of 204060640 in words is "two hundred four million, sixty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 167 224 280 334 560 668 835 1091 1120 1169 1336 1670 2182 2338 2672 3340 4364 4676 5344 5455 5845 6680 7637 8728 9352 10910 11690 13360 15274 17456 18704 21820 23380 26720 30548 34912 37408 38185 43640 46760 61096 76370 87280 93520 122192 152740 174560 182197 187040 244384 305480 364394 610960 728788 910985 1221920 1275379 1457576 1821970 2550758 2915152 3643940 5101516 5830304 6376895 7287880 10203032 12753790 14575760 20406064 25507580 29151520 40812128 51015160 102030320 204060640