Search a number
-
+
535051032240 = 24353676074603
BaseRepresentation
bin1111100100100111000…
…01101101011010110000
31220011001121220122020210
413302103201231122300
532231241031012430
61045444332304120
753441030506614
oct7622341553260
91804047818223
10535051032240
11196a063a483a
1287843612040
133b5bbacb93a
141bc7a415344
15ddb7de42b0
hex7c9386d6b0

535051032240 has 80 divisors (see below), whose sum is σ = 1663177978368. Its totient is φ = 142291477248.

The previous prime is 535051032181. The next prime is 535051032247. The reversal of 535051032240 is 42230150535.

535051032240 is digitally balanced in base 4, 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 (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 535051032198 and 535051032207.

It is not an unprimeable number, because it can be changed into a prime (535051032247) 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, 2949222 + ... + 3125381.

Almost surely, 2535051032240 is an apocalyptic number.

It is an amenable number.

535051032240 is an abundant number, since it is smaller than the sum of its proper divisors (1128126946128).

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

535051032240 is a wasteful number, since it uses less digits than its factorization.

535051032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074986 (or 6074980 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 535051032240 its reverse (42230150535), we get a palindrome (577281182775).

The spelling of 535051032240 in words is "five hundred thirty-five billion, fifty-one million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 367 734 1101 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 11010 14680 17616 22020 29360 44040 88080 6074603 12149206 18223809 24298412 30373015 36447618 48596824 60746030 72895236 91119045 97193648 121492060 145790472 182238090 242984120 291580944 364476180 485968240 728952360 1457904720 2229379301 4458758602 6688137903 8917517204 11146896505 13376275806 17835034408 22293793010 26752551612 33440689515 35670068816 44587586020 53505103224 66881379030 89175172040 107010206448 133762758060 178350344080 267525516120 535051032240