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1040041300 = 2252173671667
BaseRepresentation
bin111101111111011…
…100010101010100
32200111000120110011
4331333130111110
54112222310200
6251111410004
734526130244
oct7577342524
92614016404
101040041300
11494092471
12250383904
1313761976c
149c1b1b24
15614905ba
hex3dfdc554

1040041300 has 72 divisors (see below), whose sum is σ = 2397596544. Its totient is φ = 390243840.

The previous prime is 1040041291. The next prime is 1040041337. The reversal of 1040041300 is 31400401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623067 + ... + 624733.

It is an arithmetic number, because the mean of its divisors is an integer number (33299952).

Almost surely, 21040041300 is an apocalyptic number.

1040041300 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 1040041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198798272).

1040041300 is an abundant number, since it is smaller than the sum of its proper divisors (1357555244).

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

1040041300 is a wasteful number, since it uses less digits than its factorization.

1040041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1040041300 is about 32249.6713161545. The cubic root of 1040041300 is about 1013.1728150155.

Adding to 1040041300 its reverse (31400401), we get a palindrome (1071441701).

The spelling of 1040041300 in words is "one billion, forty million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 367 425 734 850 1468 1667 1700 1835 3334 3670 6239 6668 7340 8335 9175 12478 16670 18350 24956 28339 31195 33340 36700 41675 56678 62390 83350 113356 124780 141695 155975 166700 283390 311950 566780 611789 623900 708475 1223578 1416950 2447156 2833900 3058945 6117890 10400413 12235780 15294725 20800826 30589450 41601652 52002065 61178900 104004130 208008260 260010325 520020650 1040041300