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252037660 = 225719412311
BaseRepresentation
bin11110000010111…
…00101000011100
3122120020211200011
433001130220130
51004010201120
641002013004
76150166450
oct1701345034
9576224604
10252037660
1111a2a5696
12704a7164
13402a7014
142568a660
15171d7c5a
hexf05ca1c

252037660 has 96 divisors (see below), whose sum is σ = 652538880. Its totient is φ = 79833600.

The previous prime is 252037649. The next prime is 252037697. The reversal of 252037660 is 66730252.

252037660 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 107905 + ... + 110215.

It is an arithmetic number, because the mean of its divisors is an integer number (6797280).

Almost surely, 2252037660 is an apocalyptic number.

252037660 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 252037660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326269440).

252037660 is an abundant number, since it is smaller than the sum of its proper divisors (400501220).

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

252037660 is a wasteful number, since it uses less digits than its factorization.

252037660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 252037660 is about 15875.6940005784. The cubic root of 252037660 is about 631.6674230267.

The spelling of 252037660 in words is "two hundred fifty-two million, thirty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 41 70 76 82 95 133 140 164 190 205 266 287 380 410 532 574 665 779 820 1148 1330 1435 1558 2311 2660 2870 3116 3895 4622 5453 5740 7790 9244 10906 11555 15580 16177 21812 23110 27265 32354 43909 46220 54530 64708 80885 87818 94751 109060 161770 175636 189502 219545 307363 323540 379004 439090 473755 614726 663257 878180 947510 1229452 1326514 1536815 1800269 1895020 2653028 3073630 3316285 3600538 6147260 6632570 7201076 9001345 12601883 13265140 18002690 25203766 36005380 50407532 63009415 126018830 252037660