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1325088 = 253243107
BaseRepresentation
bin101000011100000100000
32111022200100
411003200200
5314400323
644222400
714156142
oct5034040
92438610
101325088
11825616
1253aa00
1337519b
14266c92
151b2943
hex143820

1325088 has 72 divisors (see below), whose sum is σ = 3891888. Its totient is φ = 427392.

The previous prime is 1325083. The next prime is 1325089. The reversal of 1325088 is 8805231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1325083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12331 + ... + 12437.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

21325088 is an apocalyptic number.

1325088 is a gapful number since it is divisible by the number (18) 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 1325088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944).

1325088 is an abundant number, since it is smaller than the sum of its proper divisors (2566800).

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

1325088 is a wasteful number, since it uses less digits than its factorization.

1325088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1325088 is about 1151.1246674448. The cubic root of 1325088 is about 109.8368932529.

The spelling of 1325088 in words is "one million, three hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 107 129 144 172 214 258 288 321 344 387 428 516 642 688 774 856 963 1032 1284 1376 1548 1712 1926 2064 2568 3096 3424 3852 4128 4601 5136 6192 7704 9202 10272 12384 13803 15408 18404 27606 30816 36808 41409 55212 73616 82818 110424 147232 165636 220848 331272 441696 662544 1325088