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1252540240 = 24576473457
BaseRepresentation
bin100101010101000…
…0011111101010000
310020021212122012021
41022222003331100
510031122241430
6324142141224
743016262550
oct11252037520
93207778167
101252540240
11593032026
122ab581814
1316c65bb93
14bc4c9160
1574e6807a
hex4aa83f50

1252540240 has 80 divisors (see below), whose sum is σ = 3334286592. Its totient is φ = 428654592.

The previous prime is 1252540231. The next prime is 1252540273. The reversal of 1252540240 is 420452521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360592 + ... + 364048.

Almost surely, 21252540240 is an apocalyptic number.

1252540240 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 1252540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667143296).

1252540240 is an abundant number, since it is smaller than the sum of its proper divisors (2081746352).

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

1252540240 is a wasteful number, since it uses less digits than its factorization.

1252540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1252540240 is about 35391.2452451168. The cubic root of 1252540240 is about 1077.9465554305.

Adding to 1252540240 its reverse (420452521), we get a palindrome (1672992761).

The spelling of 1252540240 in words is "one billion, two hundred fifty-two million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 647 1294 2588 3235 3457 4529 5176 6470 6914 9058 10352 12940 13828 17285 18116 22645 24199 25880 27656 34570 36232 45290 48398 51760 55312 69140 72464 90580 96796 120995 138280 181160 193592 241990 276560 362320 387184 483980 967960 1935920 2236679 4473358 8946716 11183395 15656753 17893432 22366790 31313506 35786864 44733580 62627012 78283765 89467160 125254024 156567530 178934320 250508048 313135060 626270120 1252540240