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1025052040 = 235235771931
BaseRepresentation
bin111101000110010…
…000110110001000
32122102211001001101
4331012100312020
54044403131130
6245414231144
734254540625
oct7506206610
92572731041
101025052040
11486684851
122473554b4
1313449bc8c
149a1cd34c
155eece1ca
hex3d190d88

1025052040 has 64 divisors (see below), whose sum is σ = 2412063360. Its totient is φ = 391311360.

The previous prime is 1025052019. The next prime is 1025052047. The reversal of 1025052040 is 402505201.

It is a junction number, because it is equal to n+sod(n) for n = 1025051999 and 1025052017.

It is not an unprimeable number, because it can be changed into a prime (1025052047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529875 + ... + 531805.

It is an arithmetic number, because the mean of its divisors is an integer number (37688490).

Almost surely, 21025052040 is an apocalyptic number.

1025052040 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 1025052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206031680).

1025052040 is an abundant number, since it is smaller than the sum of its proper divisors (1387011320).

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

1025052040 is a wasteful number, since it uses less digits than its factorization.

1025052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1025052040 is about 32016.4339051057. The cubic root of 1025052040 is about 1008.2819007681.

Adding to 1025052040 its reverse (402505201), we get a palindrome (1427557241).

The spelling of 1025052040 in words is "one billion, twenty-five million, fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 577 920 1154 1931 2308 2885 3862 4616 5770 7724 9655 11540 13271 15448 19310 23080 26542 38620 44413 53084 66355 77240 88826 106168 132710 177652 222065 265420 355304 444130 530840 888260 1114187 1776520 2228374 4456748 5570935 8913496 11141870 22283740 25626301 44567480 51252602 102505204 128131505 205010408 256263010 512526020 1025052040