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1053111440 = 24523935501
BaseRepresentation
bin111110110001010…
…011010010010000
32201101121121022102
4332301103102100
54124044031230
6252255455532
735045204513
oct7661232220
92641547272
101053111440
114a04aa237
122548275a8
1313a244884
149dc14d7a
15626c3045
hex3ec53490

1053111440 has 40 divisors (see below), whose sum is σ = 2449952568. Its totient is φ = 420992000.

The previous prime is 1053111421. The next prime is 1053111467. The reversal of 1053111440 is 441113501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108409744 + 944701696 = 10412^2 + 30736^2 .

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

It is a super-2 number, since 2×10531114402 = 2218087410117747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188690 + ... + 194190.

Almost surely, 21053111440 is an apocalyptic number.

1053111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053111440 is an abundant number, since it is smaller than the sum of its proper divisors (1396841128).

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

1053111440 is a wasteful number, since it uses less digits than its factorization.

1053111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1053111440 is about 32451.6785390217. The cubic root of 1053111440 is about 1017.3993211542.

Adding to 1053111440 its reverse (441113501), we get a palindrome (1494224941).

The spelling of 1053111440 in words is "one billion, fifty-three million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2393 4786 5501 9572 11002 11965 19144 22004 23930 27505 38288 44008 47860 55010 88016 95720 110020 191440 220040 440080 13163893 26327786 52655572 65819465 105311144 131638930 210622288 263277860 526555720 1053111440