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1045235040 = 25352177573
BaseRepresentation
bin111110010011010…
…000010101100000
32200211210102220220
4332103100111200
54120040010130
6251415003040
734621231323
oct7623202540
92624712826
101045235040
1149700a613
12252069480
13138717795
149cb647ba
1561b69410
hex3e4d0560

1045235040 has 48 divisors (see below), whose sum is σ = 3292491888. Its totient is φ = 278729216.

The previous prime is 1045235027. The next prime is 1045235047. The reversal of 1045235040 is 405325401.

It is a tau number, because it is divible by the number of its divisors (48).

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 1045235040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045235047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1088307 + ... + 1089266.

It is an arithmetic number, because the mean of its divisors is an integer number (68593581).

Almost surely, 21045235040 is an apocalyptic number.

1045235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045235040 is an abundant number, since it is smaller than the sum of its proper divisors (2247256848).

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

1045235040 is a wasteful number, since it uses less digits than its factorization.

1045235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177591 (or 2177583 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1045235040 is about 32330.0949581037. The cubic root of 1045235040 is about 1014.8565369480.

The spelling of 1045235040 in words is "one billion, forty-five million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2177573 4355146 6532719 8710292 10887865 13065438 17420584 21775730 26130876 32663595 34841168 43551460 52261752 65327190 69682336 87102920 104523504 130654380 174205840 209047008 261308760 348411680 522617520 1045235040