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1042661040 = 243515128771
BaseRepresentation
bin111110001001011…
…011111010110000
32200122221200001120
4332021123322300
54113410123130
6251243502240
734560321051
oct7611337260
92618850046
101042661040
11495611743
12251227980
13138025cc5
149c694728
156180b910
hex3e25beb0

1042661040 has 80 divisors (see below), whose sum is σ = 3253767936. Its totient is φ = 276192000.

The previous prime is 1042661029. The next prime is 1042661071. The reversal of 1042661040 is 401662401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1042661040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21855 + ... + 50625.

Almost surely, 21042661040 is an apocalyptic number.

1042661040 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 1042661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626883968).

1042661040 is an abundant number, since it is smaller than the sum of its proper divisors (2211106896).

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

1042661040 is a wasteful number, since it uses less digits than its factorization.

1042661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28938 (or 28932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1042661040 is about 32290.2623092473. The cubic root of 1042661040 is about 1014.0227889171.

The spelling of 1042661040 in words is "one billion, forty-two million, six hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 12080 18120 28771 36240 57542 86313 115084 143855 172626 230168 287710 345252 431565 460336 575420 690504 863130 1150840 1381008 1726260 2301680 3452520 4344421 6905040 8688842 13033263 17377684 21722105 26066526 34755368 43444210 52133052 65166315 69510736 86888420 104266104 130332630 173776840 208532208 260665260 347553680 521330520 1042661040