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1031545040 = 24517244617
BaseRepresentation
bin111101011111000…
…010000011010000
32122220000220202212
4331133002003100
54103033420130
6250205331252
734363662641
oct7537020320
92586026685
101031545040
1148a30a069
12249566b28
131359334a6
149addd6c8
1560862e95
hex3d7c20d0

1031545040 has 60 divisors (see below), whose sum is σ = 2547777036. Its totient is φ = 388337664.

The previous prime is 1031545033. The next prime is 1031545061. The reversal of 1031545040 is 405451301.

It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 1031437456 = 328^2 + 32116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1031544997 and 1031545015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812 + ... + 45428.

Almost surely, 21031545040 is an apocalyptic number.

1031545040 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 1031545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273888518).

1031545040 is an abundant number, since it is smaller than the sum of its proper divisors (1516231996).

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

1031545040 is a wasteful number, since it uses less digits than its factorization.

1031545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44664 (or 44641 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1031545040 is about 32117.6748847111. The cubic root of 1031545040 is about 1010.4063456619.

Adding to 1031545040 its reverse (405451301), we get a palindrome (1436996341).

It can be divided in two parts, 10315 and 45040, that added together give a palindrome (55355).

The spelling of 1031545040 in words is "one billion, thirty-one million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 44617 89234 178468 223085 356936 446170 713872 758489 892340 1516978 1784680 3033956 3569360 3792445 6067912 7584890 12135824 12894313 15169780 25788626 30339560 51577252 60679120 64471565 103154504 128943130 206309008 257886260 515772520 1031545040