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2533986420 = 2235737915919
BaseRepresentation
bin1001011100001001…
…1001000001110100
320112121010211212220
42113002121001310
520142200031140
61055240042340
7116536346340
oct22702310164
96477124786
102533986420
111090407559
125a87633b0
13314c9ba64
141a077a620
15ec6e0bd0
hex97099074

2533986420 has 96 divisors (see below), whose sum is σ = 8130662400. Its totient is φ = 577632384.

The previous prime is 2533986349. The next prime is 2533986479. The reversal of 2533986420 is 246893352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 151221 + ... + 167139.

It is an arithmetic number, because the mean of its divisors is an integer number (84694400).

Almost surely, 22533986420 is an apocalyptic number.

2533986420 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 2533986420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065331200).

2533986420 is an abundant number, since it is smaller than the sum of its proper divisors (5596675980).

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

2533986420 is a wasteful number, since it uses less digits than its factorization.

2533986420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2533986420 is about 50338.7169085586. The cubic root of 2533986420 is about 1363.3313695025.

The spelling of 2533986420 in words is "two billion, five hundred thirty-three million, nine hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 379 420 758 1137 1516 1895 2274 2653 3790 4548 5306 5685 7580 7959 10612 11370 13265 15918 15919 22740 26530 31836 31838 39795 47757 53060 63676 79590 79595 95514 111433 159180 159190 191028 222866 238785 318380 334299 445732 477570 557165 668598 955140 1114330 1337196 1671495 2228660 3342990 6033301 6685980 12066602 18099903 24133204 30166505 36199806 42233107 60333010 72399612 84466214 90499515 120666020 126699321 168932428 180999030 211165535 253398642 361998060 422331070 506797284 633496605 844662140 1266993210 2533986420