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1325713032 = 2332726132
BaseRepresentation
bin100111100000100…
…1100011010001000
310102101120012101200
41033001030122020
510203340304112
6335314344200
744565242400
oct11701143210
93371505350
101325713032
1162036a906
1230bb8b060
1318186b8a7
14c80d5800
157b5bdcdc
hex4f04c688

1325713032 has 108 divisors (see below), whose sum is σ = 4183497045. Its totient is φ = 378157248.

The previous prime is 1325713019. The next prime is 1325713043. The reversal of 1325713032 is 2303175231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1325713032 is a `hidden beast` number, since 1 + 32 + 571 + 30 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 738426276 + 587286756 = 27174^2 + 24234^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25746.

It is a junction number, because it is equal to n+sod(n) for n = 1325712987 and 1325713005.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2162358 + ... + 2162970.

Almost surely, 21325713032 is an apocalyptic number.

1325713032 is a gapful number since it is divisible by the number (12) 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 1325713032

1325713032 is an abundant number, since it is smaller than the sum of its proper divisors (2857784013).

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

1325713032 is an equidigital number, since it uses as much as digits as its factorization.

1325713032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1325713032 is about 36410.3423768577. The cubic root of 1325713032 is about 1098.5416022735.

Adding to 1325713032 its reverse (2303175231), we get a palindrome (3628888263).

The spelling of 1325713032 in words is "one billion, three hundred twenty-five million, seven hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 613 882 1176 1226 1764 1839 2452 3528 3678 4291 4904 5517 7356 8582 11034 12873 14712 17164 22068 25746 30037 34328 38619 44136 51492 60074 77238 90111 102984 120148 154476 180222 240296 270333 308952 360444 375769 540666 720888 751538 1081332 1127307 1503076 2162664 2254614 2630383 3006152 3381921 4509228 5260766 6763842 7891149 9018456 10521532 13527684 15782298 18412681 21043064 23673447 27055368 31564596 36825362 47346894 55238043 63129192 73650724 94693788 110476086 147301448 165714129 189387576 220952172 331428258 441904344 662856516 1325713032