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1025032240 = 245127233433
BaseRepresentation
bin111101000110001…
…100000000110000
32122102210000220001
4331012030000300
54044402012430
6245413555344
734254426121
oct7506140060
92572700801
101025032240
11486670991
12247345b54
13134492c6b
149a1c6048
155eec83ca
hex3d18c030

1025032240 has 80 divisors (see below), whose sum is σ = 2417845248. Its totient is φ = 404103168.

The previous prime is 1025032199. The next prime is 1025032247. The reversal of 1025032240 is 422305201.

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

It is not an unprimeable number, because it can be changed into a prime (1025032247) by changing a digit.

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, 2367064 + ... + 2367496.

Almost surely, 21025032240 is an apocalyptic number.

1025032240 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 1025032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208922624).

1025032240 is an abundant number, since it is smaller than the sum of its proper divisors (1392813008).

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

1025032240 is a wasteful number, since it uses less digits than its factorization.

1025032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1025032240 is about 32016.1246874134. The cubic root of 1025032240 is about 1008.2754087042.

Adding to 1025032240 its reverse (422305201), we get a palindrome (1447337441).

The spelling of 1025032240 in words is "one billion, twenty-five million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 233 254 433 466 508 635 866 932 1016 1165 1270 1732 1864 2032 2165 2330 2540 3464 3728 4330 4660 5080 6928 8660 9320 10160 17320 18640 29591 34640 54991 59182 100889 109982 118364 147955 201778 219964 236728 274955 295910 403556 439928 473456 504445 549910 591820 807112 879856 1008890 1099820 1183640 1614224 2017780 2199640 2367280 4035560 4399280 8071120 12812903 25625806 51251612 64064515 102503224 128129030 205006448 256258060 512516120 1025032240