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1041324040 = 23559463953
BaseRepresentation
bin111110000100010…
…101100000001000
32200120102202001001
4332010111200020
54113034332130
6251155104344
734543052101
oct7604254010
92616382031
101041324040
11494889189
122508a20b4
13137978593
149c4273a8
15616456ca
hex3e115808

1041324040 has 64 divisors (see below), whose sum is σ = 2390342400. Its totient is φ = 408156672.

The previous prime is 1041324029. The next prime is 1041324061. The reversal of 1041324040 is 404231401.

It is a junction number, because it is equal to n+sod(n) for n = 1041323999 and 1041324017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092204 + ... + 1093156.

It is an arithmetic number, because the mean of its divisors is an integer number (37349100).

Almost surely, 21041324040 is an apocalyptic number.

1041324040 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 1041324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195171200).

1041324040 is an abundant number, since it is smaller than the sum of its proper divisors (1349018360).

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

1041324040 is a wasteful number, since it uses less digits than its factorization.

1041324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1041324040 is about 32269.5528323527. The cubic root of 1041324040 is about 1013.5891777625.

Adding to 1041324040 its reverse (404231401), we get a palindrome (1445555441).

It can be divided in two parts, 10413 and 24040, that added together give a triangular number (34453 = T262).

The spelling of 1041324040 in words is "one billion, forty-one million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 463 472 590 926 953 1180 1852 1906 2315 2360 3704 3812 4630 4765 7624 9260 9530 18520 19060 27317 38120 54634 56227 109268 112454 136585 218536 224908 273170 281135 441239 449816 546340 562270 882478 1092680 1124540 1764956 2206195 2249080 3529912 4412390 8824780 17649560 26033101 52066202 104132404 130165505 208264808 260331010 520662020 1041324040