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53139360 = 2535149743
BaseRepresentation
bin1100101010110…
…1011110100000
310200222202111110
43022231132200
5102100424420
65134543320
71213451151
oct312553640
9120882443
1053139360
1127aa542a
1215967b40
13b017311
1470b3928
1549e9ee0
hex32ad7a0

53139360 has 96 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 14056448.

The previous prime is 53139347. The next prime is 53139367. The reversal of 53139360 is 6393135.

53139360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53139367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71149 + ... + 71891.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 253139360 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 53139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

53139360 is an abundant number, since it is smaller than the sum of its proper divisors (115599840).

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

53139360 is a wasteful number, since it uses less digits than its factorization.

53139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 53139360 is about 7289.6748898699. The cubic root of 53139360 is about 375.9575174577.

The spelling of 53139360 in words is "fifty-three million, one hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 743 745 894 1192 1486 1490 1788 2229 2235 2384 2972 2980 3576 3715 4458 4470 4768 5944 5960 7152 7430 8916 8940 11145 11888 11920 14304 14860 17832 17880 22290 23776 23840 29720 35664 35760 44580 59440 71328 71520 89160 110707 118880 178320 221414 332121 356640 442828 553535 664242 885656 1107070 1328484 1660605 1771312 2214140 2656968 3321210 3542624 4428280 5313936 6642420 8856560 10627872 13284840 17713120 26569680 53139360