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52065120 = 2535313499
BaseRepresentation
bin1100011010011…
…1001101100000
310121222011220210
43012213031200
5101312040440
65055534120
71201355232
oct306471540
9117864823
1052065120
1127431328
121552a340
13aa2c383
146cb4252
154886a80
hex31a7360

52065120 has 96 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 13432320.

The previous prime is 52065119. The next prime is 52065137. The reversal of 52065120 is 2156025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×520651202 = 5421553441228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13131 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 252065120 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 52065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

52065120 is an abundant number, since it is smaller than the sum of its proper divisors (117278880).

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

52065120 is a wasteful number, since it uses less digits than its factorization.

52065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 52065120 is about 7215.6163977861. The cubic root of 52065120 is about 373.4068591014.

The spelling of 52065120 in words is "fifty-two million, sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3499 3720 4960 6998 7440 10497 13996 14880 17495 20994 27992 34990 41988 52485 55984 69980 83976 104970 108469 111968 139960 167952 209940 216938 279920 325407 335904 419880 433876 542345 559840 650814 839760 867752 1084690 1301628 1627035 1679520 1735504 2169380 2603256 3254070 3471008 4338760 5206512 6508140 8677520 10413024 13016280 17355040 26032560 52065120