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2532020260 = 2257113721201
BaseRepresentation
bin1001011011101011…
…1001000000100100
320112110102221211011
42112322321000210
520141144122020
61055125552004
7116513550160
oct22672710044
96473387734
102532020260
11108a294330
125a7b75604
13314760b53
141a03c7ca0
15ec45335a
hex96eb9024

2532020260 has 144 divisors (see below), whose sum is σ = 6818974848. Its totient is φ = 767232000.

The previous prime is 2532020243. The next prime is 2532020279. The reversal of 2532020260 is 620202352.

It is a happy number.

It is a super-2 number, since 2×25320202602 = 12822253194100935200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2107660 + ... + 2108860.

It is an arithmetic number, because the mean of its divisors is an integer number (47353992).

Almost surely, 22532020260 is an apocalyptic number.

2532020260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532020260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409487424).

2532020260 is an abundant number, since it is smaller than the sum of its proper divisors (4286954588).

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

2532020260 is a wasteful number, since it uses less digits than its factorization.

2532020260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2532020260 is about 50319.1838169102. The cubic root of 2532020260 is about 1362.9786681658.

The spelling of 2532020260 in words is "two billion, five hundred thirty-two million, twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 140 148 154 185 220 259 308 370 385 407 518 740 770 814 1036 1201 1295 1369 1540 1628 2035 2402 2590 2738 2849 4070 4804 5180 5476 5698 6005 6845 8140 8407 9583 11396 12010 13211 13690 14245 15059 16814 19166 24020 26422 27380 28490 30118 33628 38332 42035 44437 47915 52844 56980 60236 66055 75295 84070 88874 92477 95830 105413 132110 150590 168140 177748 184954 191660 210826 222185 264220 301180 311059 369908 421652 444370 462385 488807 527065 622118 888740 924770 977614 1054130 1244236 1555295 1644169 1849540 1955228 2108260 2444035 3110590 3288338 3421649 4888070 6221180 6576676 6843298 8220845 9776140 11509183 13686596 16441690 17108245 18085859 23018366 32883380 34216490 36171718 46036732 57545915 68432980 72343436 90429295 115091830 126601013 180858590 230183660 253202026 361717180 506404052 633005065 1266010130 2532020260