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204152120 = 23541281443
BaseRepresentation
bin11000010101100…
…01110100111000
3112020011000001122
430022301310320
5404230331440
632131404412
75026156454
oct1412616470
9466130048
10204152120
11a5269567
1258453708
13333ac193
141d183664
1512dc97b5
hexc2b1d38

204152120 has 64 divisors (see below), whose sum is σ = 473286240. Its totient is φ = 79206400.

The previous prime is 204152101. The next prime is 204152129. The reversal of 204152120 is 21251402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204152129) 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, 460619 + ... + 461061.

Almost surely, 2204152120 is an apocalyptic number.

204152120 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 204152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236643120).

204152120 is an abundant number, since it is smaller than the sum of its proper divisors (269134120).

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

204152120 is a wasteful number, since it uses less digits than its factorization.

204152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 204152120 is about 14288.1811298709. The cubic root of 204152120 is about 588.8228180031.

The spelling of 204152120 in words is "two hundred four million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 281 328 410 443 562 820 886 1124 1405 1640 1772 2215 2248 2810 3544 4430 5620 8860 11240 11521 17720 18163 23042 36326 46084 57605 72652 90815 92168 115210 124483 145304 181630 230420 248966 363260 460840 497932 622415 726520 995864 1244830 2489660 4979320 5103803 10207606 20415212 25519015 40830424 51038030 102076060 204152120