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1252531240 = 235236772011
BaseRepresentation
bin100101010101000…
…0001110000101000
310020021212011211221
41022222001300220
510031121444430
6324142031424
743016224402
oct11252016050
93207764757
101252531240
11593026294
122ab578574
1316c657a5c
14bc4c5b72
1574e6557a
hex4aa81c28

1252531240 has 64 divisors (see below), whose sum is σ = 2946533760. Its totient is φ = 478283520.

The previous prime is 1252531201. The next prime is 1252531279. The reversal of 1252531240 is 421352521.

It is an interprime number because it is at equal distance from previous prime (1252531201) and next prime (1252531279).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 621835 + ... + 623845.

It is an arithmetic number, because the mean of its divisors is an integer number (46039590).

Almost surely, 21252531240 is an apocalyptic number.

1252531240 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 1252531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473266880).

1252531240 is an abundant number, since it is smaller than the sum of its proper divisors (1694002520).

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

1252531240 is a wasteful number, since it uses less digits than its factorization.

1252531240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1252531240 is about 35391.1180947989. The cubic root of 1252531240 is about 1077.9439735994.

Adding to 1252531240 its reverse (421352521), we get a palindrome (1673883761).

The spelling of 1252531240 in words is "one billion, two hundred fifty-two million, five hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 677 920 1354 2011 2708 3385 4022 5416 6770 8044 10055 13540 15571 16088 20110 27080 31142 40220 46253 62284 77855 80440 92506 124568 155710 185012 231265 311420 370024 462530 622840 925060 1361447 1850120 2722894 5445788 6807235 10891576 13614470 27228940 31313281 54457880 62626562 125253124 156566405 250506248 313132810 626265620 1252531240