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1053506040 = 23358779217
BaseRepresentation
bin111110110010110…
…011100111111000
32201102100122121020
4332302303213320
54124144143130
6252312142440
735051440116
oct7662634770
92642318536
101053506040
114a0749754
12254997a20
1313a352372
149dcb8ab6
156274ee10
hex3ecb39f8

1053506040 has 32 divisors (see below), whose sum is σ = 3160518480. Its totient is φ = 280934912.

The previous prime is 1053506009. The next prime is 1053506059. The reversal of 1053506040 is 406053501.

It is a super-2 number, since 2×10535060402 = 2219749952632963200, which contains 22 as substring.

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 1053506040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4389489 + ... + 4389728.

Almost surely, 21053506040 is an apocalyptic number.

1053506040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053506040 is an abundant number, since it is smaller than the sum of its proper divisors (2107012440).

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

1053506040 is a wasteful number, since it uses less digits than its factorization.

1053506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779231 (or 8779227 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1053506040 is about 32457.7577783802. The cubic root of 1053506040 is about 1017.5263781855.

Adding to 1053506040 its reverse (406053501), we get a palindrome (1459559541).

The spelling of 1053506040 in words is "one billion, fifty-three million, five hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8779217 17558434 26337651 35116868 43896085 52675302 70233736 87792170 105350604 131688255 175584340 210701208 263376510 351168680 526753020 1053506040