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1253303220 = 2235133743427
BaseRepresentation
bin100101010110011…
…1110001110110100
310020100022101210210
41022230332032310
510031321200340
6324210345420
743025621151
oct11254761664
93210271723
101253303220
11593503294
122ab88b270
1316c868250
14bc647228
1575069180
hex4ab3e3b4

1253303220 has 96 divisors (see below), whose sum is σ = 3881420928. Its totient is φ = 300160512.

The previous prime is 1253303209. The next prime is 1253303231. The reversal of 1253303220 is 223033521.

It is an interprime number because it is at equal distance from previous prime (1253303209) and next prime (1253303231).

It is a super-2 number, since 2×12533032202 = 3141537922524736800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7147 + ... + 50573.

It is an arithmetic number, because the mean of its divisors is an integer number (40431468).

Almost surely, 21253303220 is an apocalyptic number.

1253303220 is a gapful number since it is divisible by the number (10) 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 1253303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940710464).

1253303220 is an abundant number, since it is smaller than the sum of its proper divisors (2628117708).

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

1253303220 is a wasteful number, since it uses less digits than its factorization.

1253303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43489 (or 43487 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1253303220 is about 35402.0228235619. The cubic root of 1253303220 is about 1078.1653866492.

Adding to 1253303220 its reverse (223033521), we get a palindrome (1476336741).

The spelling of 1253303220 in words is "one billion, two hundred fifty-three million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 9620 14430 28860 43427 86854 130281 173708 217135 260562 434270 521124 564551 651405 868540 1129102 1302810 1606799 1693653 2258204 2605620 2822755 3213598 3387306 4820397 5645510 6427196 6774612 8033995 8468265 9640794 11291020 16067990 16936530 19281588 20888387 24101985 32135980 33873060 41776774 48203970 62665161 83553548 96407940 104441935 125330322 208883870 250660644 313325805 417767740 626651610 1253303220