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514040120 = 235111279199
BaseRepresentation
bin11110101000111…
…010000100111000
31022211020221110222
4132220322010320
52023043240440
6123001355212
715511161146
oct3650720470
91284227428
10514040120
11244186a50
12124198b08
138265c869
144c3ac596
15301dd2b5
hex1ea3a138

514040120 has 64 divisors (see below), whose sum is σ = 1271808000. Its totient is φ = 185431680.

The previous prime is 514040119. The next prime is 514040129. The reversal of 514040120 is 21040415.

It is a super-2 number, since 2×5140401202 = 528474489939228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514040129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51281 + ... + 60479.

It is an arithmetic number, because the mean of its divisors is an integer number (19872000).

Almost surely, 2514040120 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 514040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635904000).

514040120 is an abundant number, since it is smaller than the sum of its proper divisors (757767880).

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

514040120 is a wasteful number, since it uses less digits than its factorization.

514040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 514040120 is about 22672.4528889135. The cubic root of 514040120 is about 801.0611543170.

Adding to 514040120 its reverse (21040415), we get a palindrome (535080535).

The spelling of 514040120 in words is "five hundred fourteen million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2794 5080 5588 6985 9199 11176 13970 18398 27940 36796 45995 55880 73592 91990 101189 183980 202378 367960 404756 505945 809512 1011890 1168273 2023780 2336546 4047560 4673092 5841365 9346184 11682730 12851003 23365460 25702006 46730920 51404012 64255015 102808024 128510030 257020060 514040120