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1252132020 = 22345772921
BaseRepresentation
bin100101010100010…
…0000010010110100
310020021002220020000
41022220200102310
510031021211040
6324125311300
743012642446
oct11250402264
93207086200
101252132020
11592883357
122ab405530
1316c548129
14bc420496
1574dd7130
hex4aa204b4

1252132020 has 60 divisors (see below), whose sum is σ = 3927989604. Its totient is φ = 333901440.

The previous prime is 1252132003. The next prime is 1252132027. The reversal of 1252132020 is 202312521.

It can be written as a sum of positive squares in 2 ways, for example, as 387066276 + 865065744 = 19674^2 + 29412^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 1252131984 and 1252132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252132027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384841 + ... + 388080.

Almost surely, 21252132020 is an apocalyptic number.

1252132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252132020 is an abundant number, since it is smaller than the sum of its proper divisors (2675857584).

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

1252132020 is a wasteful number, since it uses less digits than its factorization.

1252132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772942 (or 772931 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1252132020 is about 35385.4775296307. The cubic root of 1252132020 is about 1077.8294368629.

Adding to 1252132020 its reverse (202312521), we get a palindrome (1454444541).

The spelling of 1252132020 in words is "one billion, two hundred fifty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 772921 1545842 2318763 3091684 3864605 4637526 6956289 7729210 9275052 11593815 13912578 15458420 20868867 23187630 27825156 34781445 41737734 46375260 62606601 69562890 83475468 104344335 125213202 139125780 208688670 250426404 313033005 417377340 626066010 1252132020