Search a number
-
+
1026045460 = 2251143310771
BaseRepresentation
bin111101001010000…
…011011000010100
32122111200111202201
4331022003120110
54100131423320
6245451414244
734266146116
oct7512033024
92574614681
101026045460
114871a3160
12247754384
131347591bb
149a3ab3b6
156012870a
hex3d283614

1026045460 has 48 divisors (see below), whose sum is σ = 2356224192. Its totient is φ = 372211200.

The previous prime is 1026045457. The next prime is 1026045463. The reversal of 1026045460 is 645406201.

It is an interprime number because it is at equal distance from previous prime (1026045457) and next prime (1026045463).

It is a super-2 number, since 2×10260454602 = 2105538571973223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026045463) 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, 89875 + ... + 100645.

It is an arithmetic number, because the mean of its divisors is an integer number (49088004).

Almost surely, 21026045460 is an apocalyptic number.

1026045460 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 1026045460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178112096).

1026045460 is an abundant number, since it is smaller than the sum of its proper divisors (1330178732).

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

1026045460 is a wasteful number, since it uses less digits than its factorization.

1026045460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1026045460 is about 32031.9443680836. The cubic root of 1026045460 is about 1008.6075180577.

The spelling of 1026045460 in words is "one billion, twenty-six million, forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 433 866 1732 2165 4330 4763 8660 9526 10771 19052 21542 23815 43084 47630 53855 95260 107710 118481 215420 236962 473924 592405 1184810 2369620 4663843 9327686 18655372 23319215 46638430 51302273 93276860 102604546 205209092 256511365 513022730 1026045460