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1045931920 = 245111188559
BaseRepresentation
bin111110010101111…
…010011110010000
32200220002211212021
4332111322132100
54120224310140
6251441541224
734630163125
oct7625723620
92626084767
101045931920
11497446150
12252344814
131388cca37
149cca674c
1561c55b4a
hex3e57a790

1045931920 has 40 divisors (see below), whose sum is σ = 2652865920. Its totient is φ = 380338560.

The previous prime is 1045931917. The next prime is 1045931921. The reversal of 1045931920 is 291395401.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1045931921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 593400 + ... + 595159.

It is an arithmetic number, because the mean of its divisors is an integer number (66321648).

Almost surely, 21045931920 is an apocalyptic number.

1045931920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045931920 is an abundant number, since it is smaller than the sum of its proper divisors (1606934000).

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

1045931920 is a wasteful number, since it uses less digits than its factorization.

1045931920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188583 (or 1188577 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 1045931920 is about 32340.8707365773. The cubic root of 1045931920 is about 1015.0820288482.

The spelling of 1045931920 in words is "one billion, forty-five million, nine hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1188559 2377118 4754236 5942795 9508472 11885590 13074149 19016944 23771180 26148298 47542360 52296596 65370745 95084720 104593192 130741490 209186384 261482980 522965960 1045931920