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1325313024 = 2103761631
BaseRepresentation
bin100111011111110…
…1010110000000000
310102100210212200120
41032333222300000
510203240004044
6335302020240
744561655240
oct11677526000
93370725616
101325313024
11620117322
1230ba17680
1318175b7b9
14c802db20
157b540519
hex4efeac00

1325313024 has 88 divisors (see below), whose sum is σ = 4037142528. Its totient is φ = 378654720.

The previous prime is 1325313001. The next prime is 1325313049. The reversal of 1325313024 is 4203135231.

It is a super-2 number, since 2×13253130242 = 3512909223168049152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1325312985 and 1325313003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9312 + ... + 52319.

Almost surely, 21325313024 is an apocalyptic number.

1325313024 is a gapful number since it is divisible by the number (14) 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 1325313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018571264).

1325313024 is an abundant number, since it is smaller than the sum of its proper divisors (2711829504).

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

1325313024 is an equidigital number, since it uses as much as digits as its factorization.

1325313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61661 (or 61643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1325313024 is about 36404.8489078035. The cubic root of 1325313024 is about 1098.4311033390.

Adding to 1325313024 its reverse (4203135231), we get a palindrome (5528448255).

The spelling of 1325313024 in words is "one billion, three hundred twenty-five million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 61631 123262 184893 246524 369786 431417 493048 739572 862834 986096 1294251 1479144 1725668 1972192 2588502 2958288 3451336 3944384 5177004 5916576 6902672 7888768 10354008 11833152 13805344 15777536 20708016 23666304 27610688 31555072 41416032 47332608 55221376 63110144 82832064 94665216 110442752 165664128 189330432 220885504 331328256 441771008 662656512 1325313024