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1041343540 = 22537273521
BaseRepresentation
bin111110000100011…
…010010000110100
32200120110201210021
4332010122100310
54113040443130
6251155334524
734543162666
oct7604322064
92616421707
101041343540
114948a18a6
122508b1444
13137984413
149c430536
156164b37a
hex3e11a434

1041343540 has 72 divisors (see below), whose sum is σ = 2282683032. Its totient is φ = 398960640.

The previous prime is 1041343489. The next prime is 1041343553. The reversal of 1041343540 is 453431401.

It can be written as a sum of positive squares in 12 ways, for example, as 7463824 + 1033879716 = 2732^2 + 32154^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1998480 + ... + 1999000.

It is an arithmetic number, because the mean of its divisors is an integer number (31703931).

Almost surely, 21041343540 is an apocalyptic number.

1041343540 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 1041343540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141341516).

1041343540 is an abundant number, since it is smaller than the sum of its proper divisors (1241339492).

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

1041343540 is a wasteful number, since it uses less digits than its factorization.

1041343540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1041343540 is about 32269.8549733339. The cubic root of 1041343540 is about 1013.5955046005.

Adding to 1041343540 its reverse (453431401), we get a palindrome (1494774941).

The spelling of 1041343540 in words is "one billion, forty-one million, three hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 521 730 740 1042 1369 1460 2084 2605 2701 2738 5210 5402 5476 6845 10420 10804 13505 13690 19277 27010 27380 38033 38554 54020 76066 77108 96385 99937 152132 190165 192770 199874 380330 385540 399748 499685 713249 760660 999370 1407221 1426498 1998740 2814442 2852996 3566245 5628884 7036105 7132490 14072210 14264980 28144420 52067177 104134354 208268708 260335885 520671770 1041343540