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1023445540 = 225133936329
BaseRepresentation
bin111101000000001…
…000101000100100
32122022210102100101
4331000020220210
54044000224130
6245315553444
734235100145
oct7500105044
92568712311
101023445540
11485787867
122468bb884
131340589a0
1499cd1acc
155ecb31ca
hex3d008a24

1023445540 has 24 divisors (see below), whose sum is σ = 2314562040. Its totient is φ = 377887488.

The previous prime is 1023445523. The next prime is 1023445547. The reversal of 1023445540 is 455443201.

It can be written as a sum of positive squares in 4 ways, for example, as 113337316 + 910108224 = 10646^2 + 30168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023445499 and 1023445508.

It is not an unprimeable number, because it can be changed into a prime (1023445547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967905 + ... + 1968424.

It is an arithmetic number, because the mean of its divisors is an integer number (96440085).

Almost surely, 21023445540 is an apocalyptic number.

1023445540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023445540 is an abundant number, since it is smaller than the sum of its proper divisors (1291116500).

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

1023445540 is a wasteful number, since it uses less digits than its factorization.

1023445540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936351 (or 3936349 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1023445540 is about 31991.3353894457. The cubic root of 1023445540 is about 1007.7548862836.

Adding to 1023445540 its reverse (455443201), we get a palindrome (1478888741).

The spelling of 1023445540 in words is "one billion, twenty-three million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3936329 7872658 15745316 19681645 39363290 51172277 78726580 102344554 204689108 255861385 511722770 1023445540