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252120060 = 223354211109
BaseRepresentation
bin11110000011100…
…00101111111100
3122120102000201000
433001300233330
51004020320220
641003450300
76150661623
oct1701605774
9576360630
10252120060
1111a351595
1270526990
134030568a
14256ac6ba
1517202390
hexf070bfc

252120060 has 96 divisors (see below), whose sum is σ = 786945600. Its totient is φ = 67011840.

The previous prime is 252120049. The next prime is 252120097. The reversal of 252120060 is 60021252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 226786 + ... + 227894.

It is an arithmetic number, because the mean of its divisors is an integer number (8197350).

Almost surely, 2252120060 is an apocalyptic number.

252120060 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 252120060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393472800).

252120060 is an abundant number, since it is smaller than the sum of its proper divisors (534825540).

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

252120060 is a wasteful number, since it uses less digits than its factorization.

252120060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252120060 is about 15878.2889506395. The cubic root of 252120060 is about 631.7362536457.

The spelling of 252120060 in words is "two hundred fifty-two million, one hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 421 540 842 1109 1263 1684 2105 2218 2526 3327 3789 4210 4436 5052 5545 6315 6654 7578 8420 9981 11090 11367 12630 13308 15156 16635 18945 19962 22180 22734 25260 29943 33270 37890 39924 45468 49905 56835 59886 66540 75780 99810 113670 119772 149715 199620 227340 299430 466889 598860 933778 1400667 1867556 2334445 2801334 4202001 4668890 5602668 7003335 8404002 9337780 12606003 14006670 16808004 21010005 25212006 28013340 42020010 50424012 63030015 84040020 126060030 252120060