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1252074240 = 2833536229
BaseRepresentation
bin100101010100001…
…0010001100000000
310020020222221222000
41022220102030000
510031012333430
6324124144000
743012312134
oct11250221400
93206887860
101252074240
115928439aa
122ab398000
1316c527a41
14bc4073c4
1574dc4e60
hex4aa12300

1252074240 has 144 divisors (see below), whose sum is σ = 4443247200. Its totient is φ = 333877248.

The previous prime is 1252074233. The next prime is 1252074247. The reversal of 1252074240 is 424702521.

It is an interprime number because it is at equal distance from previous prime (1252074233) and next prime (1252074247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252074247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16446 + ... + 52674.

Almost surely, 21252074240 is an apocalyptic number.

1252074240 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 1252074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221623600).

1252074240 is an abundant number, since it is smaller than the sum of its proper divisors (3191172960).

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

1252074240 is an equidigital number, since it uses as much as digits as its factorization.

1252074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36259 (or 36239 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1252074240 is about 35384.6610835825. The cubic root of 1252074240 is about 1077.8128576892.

Adding to 1252074240 its reverse (424702521), we get a palindrome (1676776761).

The spelling of 1252074240 in words is "one billion, two hundred fifty-two million, seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 36229 72458 108687 144916 181145 217374 289832 326061 362290 434748 543435 579664 652122 724580 869496 978183 1086870 1159328 1304244 1449160 1630305 1738992 1956366 2173740 2318656 2608488 2898320 3260610 3477984 3912732 4347480 4637312 4890915 5216976 5796640 6521220 6955968 7825464 8694960 9274624 9781830 10433952 11593280 13042440 13911936 15650928 17389920 19563660 20867904 23186560 26084880 27823872 31301856 34779840 39127320 41735808 46373120 52169760 62603712 69559680 78254640 83471616 104339520 125207424 139119360 156509280 208679040 250414848 313018560 417358080 626037120 1252074240