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204253520 = 2455367719
BaseRepresentation
bin11000010110010…
…10100101010000
3112020100011011012
430023022211100
5404242103040
632133510052
75030061212
oct1413124520
9466304135
10204253520
11a5328769
12584a2328
1333416393
141d1ac5b2
1512de9865
hexc2ca950

204253520 has 80 divisors (see below), whose sum is σ = 491754240. Its totient is φ = 78853632.

The previous prime is 204253519. The next prime is 204253549. The reversal of 204253520 is 25352402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283721 + ... + 284439.

It is an arithmetic number, because the mean of its divisors is an integer number (6146928).

Almost surely, 2204253520 is an apocalyptic number.

204253520 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 204253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245877120).

204253520 is an abundant number, since it is smaller than the sum of its proper divisors (287500720).

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

204253520 is a wasteful number, since it uses less digits than its factorization.

204253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 204253520 is about 14291.7290766373. The cubic root of 204253520 is about 588.9202890315.

The spelling of 204253520 in words is "two hundred four million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 67 80 106 134 212 265 268 335 424 530 536 670 719 848 1060 1072 1340 1438 2120 2680 2876 3551 3595 4240 5360 5752 7102 7190 11504 14204 14380 17755 28408 28760 35510 38107 48173 56816 57520 71020 76214 96346 142040 152428 190535 192692 240865 284080 304856 381070 385384 481730 609712 762140 770768 963460 1524280 1926920 2553169 3048560 3853840 5106338 10212676 12765845 20425352 25531690 40850704 51063380 102126760 204253520