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1325000520 = 233256160337
BaseRepresentation
bin100111011111001…
…1110011101001000
310102100020000000100
41032332132131020
510203200004040
6335251205400
744556214164
oct11676363510
93370200010
101325000520
1161aa23558
1230b8a6860
1318167c49c
14c7d8bca4
157b4ccb30
hex4ef9e748

1325000520 has 96 divisors (see below), whose sum is σ = 4376918520. Its totient is φ = 347535360.

The previous prime is 1325000513. The next prime is 1325000531. The reversal of 1325000520 is 250005231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 387538596 + 937461924 = 19686^2 + 30618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1325000493 and 1325000502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8209 + ... + 52128.

Almost surely, 21325000520 is an apocalyptic number.

1325000520 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 1325000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188459260).

1325000520 is an abundant number, since it is smaller than the sum of its proper divisors (3051918000).

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

1325000520 is a wasteful number, since it uses less digits than its factorization.

1325000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60415 (or 60408 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1325000520 is about 36400.5565891512. The cubic root of 1325000520 is about 1098.3447611967.

Adding to 1325000520 its reverse (250005231), we get a palindrome (1575005751).

The spelling of 1325000520 in words is "one billion, three hundred twenty-five million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 60337 120674 181011 241348 301685 362022 482696 543033 603370 724044 905055 1086066 1206740 1448088 1810110 2172132 2413480 2715165 3620220 3680557 4344264 5430330 7240440 7361114 10860660 11041671 14722228 18402785 21721320 22083342 29444456 33125013 36805570 44166684 55208355 66250026 73611140 88333368 110416710 132500052 147222280 165625065 220833420 265000104 331250130 441666840 662500260 1325000520