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252060700 = 225217672213
BaseRepresentation
bin11110000011000…
…10010000011100
3122120022000021111
433001202100130
51004011420300
641002311404
76150323563
oct1701422034
9576260244
10252060700
1111a310a31
12704b8564
13402b4658
1425694bda
15171de9ba
hexf06241c

252060700 has 72 divisors (see below), whose sum is σ = 588056112. Its totient is φ = 93434880.

The previous prime is 252060667. The next prime is 252060701. The reversal of 252060700 is 7060252.

252060700 is digitally balanced in base 3, 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 (252060701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112794 + ... + 115006.

It is an arithmetic number, because the mean of its divisors is an integer number (8167446).

Almost surely, 2252060700 is an apocalyptic number.

252060700 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 252060700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294028056).

252060700 is an abundant number, since it is smaller than the sum of its proper divisors (335995412).

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

252060700 is a wasteful number, since it uses less digits than its factorization.

252060700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 252060700 is about 15876.4196215646. The cubic root of 252060700 is about 631.6866703804.

The spelling of 252060700 in words is "two hundred fifty-two million, sixty thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 85 100 134 170 268 335 340 425 670 850 1139 1340 1675 1700 2213 2278 3350 4426 4556 5695 6700 8852 11065 11390 22130 22780 28475 37621 44260 55325 56950 75242 110650 113900 148271 150484 188105 221300 296542 376210 593084 741355 752420 940525 1482710 1881050 2520607 2965420 3706775 3762100 5041214 7413550 10082428 12603035 14827100 25206070 50412140 63015175 126030350 252060700