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252184020 = 2235111073571
BaseRepresentation
bin11110000100000…
…00010111010100
3122120112021102220
433002000113110
51004024342040
641005102340
76151346244
oct1702002724
9576467386
10252184020
1111a395650
12705579b0
134032881a
14256c7b24
15172162d0
hexf0805d4

252184020 has 96 divisors (see below), whose sum is σ = 777724416. Its totient is φ = 60547200.

The previous prime is 252184013. The next prime is 252184033. The reversal of 252184020 is 20481252.

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 31 ways as a sum of consecutive naturals, for example, 68835 + ... + 72405.

It is an arithmetic number, because the mean of its divisors is an integer number (8101296).

Almost surely, 2252184020 is an apocalyptic number.

252184020 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 252184020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388862208).

252184020 is an abundant number, since it is smaller than the sum of its proper divisors (525540396).

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

252184020 is a wasteful number, since it uses less digits than its factorization.

252184020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 252184020 is about 15880.3028938368. The cubic root of 252184020 is about 631.7896705699.

The spelling of 252184020 in words is "two hundred fifty-two million, one hundred eighty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 3571 4708 5885 6420 7062 7142 10713 11770 14124 14284 17655 17855 21426 23540 35310 35710 39281 42852 53565 70620 71420 78562 107130 117843 157124 196405 214260 235686 382097 392810 471372 589215 764194 785620 1146291 1178430 1528388 1910485 2292582 2356860 3820970 4203067 4585164 5731455 7641940 8406134 11462910 12609201 16812268 21015335 22925820 25218402 42030670 50436804 63046005 84061340 126092010 252184020