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52152120 = 23335431123
BaseRepresentation
bin1100011011110…
…0011100111000
310122010121021000
43012330130320
5101322331440
65101445000
71202166666
oct306743470
9118117230
1052152120
1127490729
1215570760
13aa5cb57
146cd7c36
1548a2730
hex31bc738

52152120 has 128 divisors (see below), whose sum is σ = 178041600. Its totient is φ = 13571712.

The previous prime is 52152059. The next prime is 52152143. The reversal of 52152120 is 2125125.

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

It is a junction number, because it is equal to n+sod(n) for n = 52152093 and 52152102.

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, 45879 + ... + 47001.

It is an arithmetic number, because the mean of its divisors is an integer number (1390950).

Almost surely, 252152120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89020800).

52152120 is an abundant number, since it is smaller than the sum of its proper divisors (125889480).

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

52152120 is a wasteful number, since it uses less digits than its factorization.

52152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52152120 is about 7221.6424724574. The cubic root of 52152120 is about 373.6147290328.

Adding to 52152120 its reverse (2125125), we get a palindrome (54277245).

The spelling of 52152120 in words is "fifty-two million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1123 1161 1290 1548 1720 1935 2246 2322 2580 3096 3369 3870 4492 4644 5160 5615 5805 6738 7740 8984 9288 10107 11230 11610 13476 15480 16845 20214 22460 23220 26952 30321 33690 40428 44920 46440 48289 50535 60642 67380 80856 96578 101070 121284 134760 144867 151605 193156 202140 241445 242568 289734 303210 386312 404280 434601 482890 579468 606420 724335 869202 965780 1158936 1212840 1303803 1448670 1738404 1931560 2173005 2607606 2897340 3476808 4346010 5215212 5794680 6519015 8692020 10430424 13038030 17384040 26076060 52152120