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1025366130 = 2325412691033
BaseRepresentation
bin111101000111011…
…101100001110010
32122110101222220100
4331013131201302
54044443204010
6245425053230
734260316425
oct7507354162
92573358810
101025366130
11486879828
12247487216
1313457bc29
149a2719bc
15600422c0
hex3d1dd872

1025366130 has 96 divisors (see below), whose sum is σ = 2743781040. Its totient is φ = 265512960.

The previous prime is 1025366113. The next prime is 1025366131. The reversal of 1025366130 is 316635201.

1025366130 is a `hidden beast` number, since 10 + 2 + 5 + 36 + 613 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 209178369 + 816187761 = 14463^2 + 28569^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1025366094 and 1025366103.

It is not an unprimeable number, because it can be changed into a prime (1025366131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992094 + ... + 993126.

Almost surely, 21025366130 is an apocalyptic number.

1025366130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025366130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371890520).

1025366130 is an abundant number, since it is smaller than the sum of its proper divisors (1718414910).

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

1025366130 is a wasteful number, since it uses less digits than its factorization.

1025366130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1025366130 is about 32021.3386665829. The cubic root of 1025366130 is about 1008.3848740512.

The spelling of 1025366130 in words is "one billion, twenty-five million, three hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 269 369 410 538 615 738 807 1033 1230 1345 1614 1845 2066 2421 2690 3099 3690 4035 4842 5165 6198 8070 9297 10330 11029 12105 15495 18594 22058 24210 30990 33087 42353 46485 55145 66174 84706 92970 99261 110290 127059 165435 198522 211765 254118 277877 330870 381177 423530 496305 555754 635295 762354 833631 992610 1270590 1389385 1667262 1905885 2500893 2778770 3811770 4168155 5001786 8336310 11392957 12504465 22785914 25008930 34178871 56964785 68357742 102536613 113929570 170894355 205073226 341788710 512683065 1025366130