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252100140 = 223517439563
BaseRepresentation
bin11110000011010…
…11111000101100
3122120101000101020
433001223320230
51004014201030
641003214140
76150546555
oct1701537054
9576330336
10252100140
1111a338626
1270517350
13402c95a6
14256a532c
15171eb510
hexf06be2c

252100140 has 96 divisors (see below), whose sum is σ = 750435840. Its totient is φ = 63015936.

The previous prime is 252100117. The next prime is 252100213. The reversal of 252100140 is 41001252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447499 + ... + 448061.

It is an arithmetic number, because the mean of its divisors is an integer number (7817040).

Almost surely, 2252100140 is an apocalyptic number.

252100140 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 252100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375217920).

252100140 is an abundant number, since it is smaller than the sum of its proper divisors (498335700).

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

252100140 is a wasteful number, since it uses less digits than its factorization.

252100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 252100140 is about 15877.6616666309. The cubic root of 252100140 is about 631.7196153853.

Adding to 252100140 its reverse (41001252), we get a palindrome (293101392).

The spelling of 252100140 in words is "two hundred fifty-two million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 439 510 563 878 1020 1126 1317 1689 1756 2195 2252 2634 2815 3378 4390 5268 5630 6585 6756 7463 8445 8780 9571 11260 13170 14926 16890 19142 22389 26340 28713 29852 33780 37315 38284 44778 47855 57426 74630 89556 95710 111945 114852 143565 149260 191420 223890 247157 287130 447780 494314 574260 741471 988628 1235785 1482942 2471570 2965884 3707355 4201669 4943140 7414710 8403338 12605007 14829420 16806676 21008345 25210014 42016690 50420028 63025035 84033380 126050070 252100140