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1025114720 = 25577871163
BaseRepresentation
bin111101000110100…
…000001001100000
32122102221020000212
4331012200021200
54044412132340
6245415433252
734255221440
oct7506401140
92572836025
101025114720
11486717953
12247385828
131344c1676
149a208120
155eee2a65
hex3d1a0260

1025114720 has 96 divisors (see below), whose sum is σ = 2773709568. Its totient is φ = 350719488.

The previous prime is 1025114719. The next prime is 1025114731. The reversal of 1025114720 is 274115201.

It is a congruent number.

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, 880859 + ... + 882021.

It is an arithmetic number, because the mean of its divisors is an integer number (28892808).

Almost surely, 21025114720 is an apocalyptic number.

1025114720 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 1025114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386854784).

1025114720 is an abundant number, since it is smaller than the sum of its proper divisors (1748594848).

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

1025114720 is a wasteful number, since it uses less digits than its factorization.

1025114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1025114720 is about 32017.4127624329. The cubic root of 1025114720 is about 1008.3024518618.

Adding to 1025114720 its reverse (274115201), we get a palindrome (1299229921).

The spelling of 1025114720 in words is "one billion, twenty-five million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 787 1120 1163 1574 2326 3148 3935 4652 5509 5815 6296 7870 8141 9304 11018 11630 12592 15740 16282 18608 22036 23260 25184 27545 31480 32564 37216 40705 44072 46520 55090 62960 65128 81410 88144 93040 110180 125920 130256 162820 176288 186080 220360 260512 325640 440720 651280 881440 915281 1302560 1830562 3661124 4576405 6406967 7322248 9152810 12813934 14644496 18305620 25627868 29288992 32034835 36611240 51255736 64069670 73222480 102511472 128139340 146444960 205022944 256278680 512557360 1025114720