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1052211440 = 24571878949
BaseRepresentation
bin111110101101110…
…111100011110000
32201022220212202002
4332231313203300
54123331231230
6252224313132
735034435560
oct7655674360
92638825662
101052211440
1149aa45035
122544727a8
13139cbb027
149da5cda0
1562596545
hex3eb778f0

1052211440 has 40 divisors (see below), whose sum is σ = 2795877600. Its totient is φ = 360758016.

The previous prime is 1052211427. The next prime is 1052211449. The reversal of 1052211440 is 441122501.

It is a happy number.

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

It is a super-2 number, since 2×10522114402 = 2214297828933747200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052211449) by changing a digit.

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, 938915 + ... + 940034.

It is an arithmetic number, because the mean of its divisors is an integer number (69896940).

Almost surely, 21052211440 is an apocalyptic number.

1052211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052211440 is an abundant number, since it is smaller than the sum of its proper divisors (1743666160).

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

1052211440 is a wasteful number, since it uses less digits than its factorization.

1052211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878969 (or 1878963 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1052211440 is about 32437.8088039251. The cubic root of 1052211440 is about 1017.1094118682.

Adding to 1052211440 its reverse (441122501), we get a palindrome (1493333941).

The spelling of 1052211440 in words is "one billion, fifty-two million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1878949 3757898 7515796 9394745 13152643 15031592 18789490 26305286 30063184 37578980 52610572 65763215 75157960 105221144 131526430 150315920 210442288 263052860 526105720 1052211440