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1243402240 = 2125109557
BaseRepresentation
bin100101000011100…
…1101000000000000
310012122200101012211
41022013031000000
510021302332430
6323214231504
742545513263
oct11207150000
93178611184
101243402240
11588960563
122a84b5594
1316a7ac792
14bb1cacda
157426072a
hex4a1cd000

1243402240 has 104 divisors (see below), whose sum is σ = 3016581480. Its totient is φ = 491913216.

The previous prime is 1243402229. The next prime is 1243402243. The reversal of 1243402240 is 422043421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 1203257344 = 6336^2 + 34688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243402243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2232042 + ... + 2232598.

Almost surely, 21243402240 is an apocalyptic number.

1243402240 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 1243402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508290740).

1243402240 is an abundant number, since it is smaller than the sum of its proper divisors (1773179240).

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

1243402240 is an equidigital number, since it uses as much as digits as its factorization.

1243402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1243402240 is about 35261.9091939163. The cubic root of 1243402240 is about 1075.3187416102.

Adding to 1243402240 its reverse (422043421), we get a palindrome (1665445661).

The spelling of 1243402240 in words is "one billion, two hundred forty-three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 557 640 872 1024 1090 1114 1280 1744 2048 2180 2228 2560 2785 3488 4096 4360 4456 5120 5570 6976 8720 8912 10240 11140 13952 17440 17824 20480 22280 27904 34880 35648 44560 55808 60713 69760 71296 89120 111616 121426 139520 142592 178240 223232 242852 279040 285184 303565 356480 446464 485704 558080 570368 607130 712960 971408 1116160 1140736 1214260 1425920 1942816 2232320 2281472 2428520 2851840 3885632 4857040 5703680 7771264 9714080 11407360 15542528 19428160 31085056 38856320 62170112 77712640 124340224 155425280 248680448 310850560 621701120 1243402240