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539045120 = 2853531193
BaseRepresentation
bin100000001000010…
…010110100000000
31101120022022220002
4200020102310000
52100443420440
6125253335132
716233544055
oct4010226400
91346268802
10539045120
11257305639
121306374a8
13878a6113
145183b02c
15324cc115
hex20212d00

539045120 has 72 divisors (see below), whose sum is σ = 1295924616. Its totient is φ = 214827008.

The previous prime is 539045113. The next prime is 539045123. The reversal of 539045120 is 21540935.

It can be written as a sum of positive squares in 4 ways, for example, as 41576704 + 497468416 = 6448^2 + 22304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (539045123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451244 + ... + 452436.

It is an arithmetic number, because the mean of its divisors is an integer number (17998953).

Almost surely, 2539045120 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 539045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647962308).

539045120 is an abundant number, since it is smaller than the sum of its proper divisors (756879496).

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

539045120 is a wasteful number, since it uses less digits than its factorization.

539045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 539045120 is about 23217.3452401432. The cubic root of 539045120 is about 813.8450123172.

The spelling of 539045120 in words is "five hundred thirty-nine million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 353 640 706 1193 1280 1412 1765 2386 2824 3530 4772 5648 5965 7060 9544 11296 11930 14120 19088 22592 23860 28240 38176 45184 47720 56480 76352 90368 95440 112960 152704 190880 225920 305408 381760 421129 451840 763520 842258 1527040 1684516 2105645 3369032 4211290 6738064 8422580 13476128 16845160 26952256 33690320 53904512 67380640 107809024 134761280 269522560 539045120