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1053243630 = 232511702707
BaseRepresentation
bin111110110001110…
…011100011101110
32201101212022122100
4332301303203232
54124112244010
6252302355530
735046265065
oct7661634356
92641768570
101053243630
114a058a58a
1225488bba6
1313a28caaa
149dc4b1dc
15626ec2c0
hex3ec738ee

1053243630 has 24 divisors (see below), whose sum is σ = 2738433672. Its totient is φ = 280864944.

The previous prime is 1053243599. The next prime is 1053243637. The reversal of 1053243630 is 363423501.

It is a happy number.

1053243630 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 24 + 3 + 630 = 666.

It is a super-2 number, since 2×10532436302 = 2218644288271153800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053243594 and 1053243603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053243637) 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 11 ways as a sum of consecutive naturals, for example, 5851264 + ... + 5851443.

It is an arithmetic number, because the mean of its divisors is an integer number (114101403).

Almost surely, 21053243630 is an apocalyptic number.

1053243630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1053243630 is an abundant number, since it is smaller than the sum of its proper divisors (1685190042).

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

1053243630 is a wasteful number, since it uses less digits than its factorization.

1053243630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702720 (or 11702717 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1053243630 is about 32453.7151956444. The cubic root of 1053243630 is about 1017.4418884725.

The spelling of 1053243630 in words is "one billion, fifty-three million, two hundred forty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11702707 23405414 35108121 58513535 70216242 105324363 117027070 175540605 210648726 351081210 526621815 1053243630