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2531640330 = 23251071511741
BaseRepresentation
bin1001011011100101…
…1100010000001010
320112102201122122200
42112321130100022
520141044442310
61055113501030
7116510405412
oct22671342012
96472648580
102531640330
11108a05493a
125a7a11776
13314659c3b
141a0329642
15ec3ca9c0
hex96e5c40a

2531640330 has 96 divisors (see below), whose sum is σ = 6691621248. Its totient is φ = 663984000.

The previous prime is 2531640329. The next prime is 2531640373. The reversal of 2531640330 is 330461352.

It is a happy number.

2531640330 is a `hidden beast` number, since 253 + 1 + 6 + 403 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2531640294 and 2531640303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453260 + ... + 1455000.

It is an arithmetic number, because the mean of its divisors is an integer number (69704388).

Almost surely, 22531640330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531640330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345810624).

2531640330 is an abundant number, since it is smaller than the sum of its proper divisors (4159980918).

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

2531640330 is a wasteful number, since it uses less digits than its factorization.

2531640330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2531640330 is about 50315.4084749394. The cubic root of 2531640330 is about 1362.9104930415.

The spelling of 2531640330 in words is "two billion, five hundred thirty-one million, six hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 151 214 302 321 453 535 642 755 906 963 1070 1359 1510 1605 1741 1926 2265 2718 3210 3482 4530 4815 5223 6795 8705 9630 10446 13590 15669 16157 17410 26115 31338 32314 48471 52230 78345 80785 96942 145413 156690 161570 186287 242355 262891 290826 372574 484710 525782 558861 727065 788673 931435 1117722 1314455 1454130 1577346 1676583 1862870 2366019 2628910 2794305 3353166 3943365 4732038 5588610 7886730 8382915 11830095 16765830 23660190 28129337 56258674 84388011 140646685 168776022 253164033 281293370 421940055 506328066 843880110 1265820165 2531640330