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1040604400 = 245211713331
BaseRepresentation
bin111110000001100…
…101110011110000
32200112002011212201
4332001211303300
54112343320100
6251131432544
734533664033
oct7601456360
92615064781
101040604400
11494437540
122505b5754
13137785b64
149c2bb01a
156155236a
hex3e065cf0

1040604400 has 120 divisors (see below), whose sum is σ = 2766572928. Its totient is φ = 372960000.

The previous prime is 1040604379. The next prime is 1040604401. The reversal of 1040604400 is 44060401.

1040604400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040604401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310735 + ... + 314065.

Almost surely, 21040604400 is an apocalyptic number.

1040604400 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 1040604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383286464).

1040604400 is an abundant number, since it is smaller than the sum of its proper divisors (1725968528).

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

1040604400 is a wasteful number, since it uses less digits than its factorization.

1040604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3420 counting only the distinct ones).

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

The square root of 1040604400 is about 32258.4004563153. The cubic root of 1040604400 is about 1013.3556329734.

Adding to 1040604400 its reverse (44060401), we get a palindrome (1084664801).

The spelling of 1040604400 in words is "one billion, forty million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 142 176 200 220 275 284 355 400 440 550 568 710 781 880 1100 1136 1420 1562 1775 2200 2840 3124 3331 3550 3905 4400 5680 6248 6662 7100 7810 12496 13324 14200 15620 16655 19525 26648 28400 31240 33310 36641 39050 53296 62480 66620 73282 78100 83275 133240 146564 156200 166550 183205 236501 266480 293128 312400 333100 366410 473002 586256 666200 732820 916025 946004 1182505 1332400 1465640 1832050 1892008 2365010 2601511 2931280 3664100 3784016 4730020 5203022 5912525 7328200 9460040 10406044 11825050 13007555 14656400 18920080 20812088 23650100 26015110 41624176 47300200 52030220 65037775 94600400 104060440 130075550 208120880 260151100 520302200 1040604400