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1053442520 = 235134149411
BaseRepresentation
bin111110110010100…
…100000111011000
32201102020102110122
4332302210013120
54124140130040
6252310532412
735051053664
oct7662440730
92642212418
101053442520
114a0705a59
12254967108
1313a32c490
149dc9d8a4
156273b1b5
hex3eca41d8

1053442520 has 64 divisors (see below), whose sum is σ = 2614883040. Its totient is φ = 379468800.

The previous prime is 1053442493. The next prime is 1053442529. The reversal of 1053442520 is 252443501.

It is a happy number.

1053442520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10534425202 = 2219482285887900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1053442520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053442529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3386 + ... + 46025.

Almost surely, 21053442520 is an apocalyptic number.

1053442520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307441520).

1053442520 is an abundant number, since it is smaller than the sum of its proper divisors (1561440520).

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

1053442520 is a wasteful number, since it uses less digits than its factorization.

1053442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49476 (or 49472 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1053442520 is about 32456.7792610419. The cubic root of 1053442520 is about 1017.5059275594.

The spelling of 1053442520 in words is "one billion, fifty-three million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 49411 98822 197644 247055 395288 494110 642343 988220 1284686 1976440 2025851 2569372 3211715 4051702 5138744 6423430 8103404 10129255 12846860 16206808 20258510 25693720 26336063 40517020 52672126 81034040 105344252 131680315 210688504 263360630 526721260 1053442520