Search a number
-
+
632040240 = 243513202577
BaseRepresentation
bin100101101011000…
…010101100110000
31122001021222012210
4211223002230300
52243300241430
6142414452120
721443152626
oct4553025460
91561258183
10632040240
112a4852207
12157804040
13a0c36410
145dd27516
153a74b2b0
hex25ac2b30

632040240 has 80 divisors (see below), whose sum is σ = 2110052448. Its totient is φ = 155578368.

The previous prime is 632040217. The next prime is 632040251. The reversal of 632040240 is 42040236.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 98169 + ... + 104408.

Almost surely, 2632040240 is an apocalyptic number.

632040240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

632040240 is an abundant number, since it is smaller than the sum of its proper divisors (1478012208).

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

632040240 is a wasteful number, since it uses less digits than its factorization.

632040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202606 (or 202600 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 632040240 is about 25140.4104978419. The cubic root of 632040240 is about 858.1862984595.

Adding to 632040240 its reverse (42040236), we get a palindrome (674080476).

The spelling of 632040240 in words is "six hundred thirty-two million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 202577 405154 607731 810308 1012885 1215462 1620616 2025770 2430924 2633501 3038655 3241232 4051540 4861848 5267002 6077310 7900503 8103080 9723696 10534004 12154620 13167505 15801006 16206160 21068008 24309240 26335010 31602012 39502515 42136016 48618480 52670020 63204024 79005030 105340040 126408048 158010060 210680080 316020120 632040240