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1055235132 = 2232711337057
BaseRepresentation
bin111110111001011…
…001110000111100
32201112121111110200
4332321121300330
54130120011012
6252413203500
735102231160
oct7671316074
92645544420
101055235132
114a171a856
12255490590
1313a8093b3
14a0208ca0
15629923dc
hex3ee59c3c

1055235132 has 72 divisors (see below), whose sum is σ = 3075517536. Its totient is φ = 298819584.

The previous prime is 1055235127. The next prime is 1055235197. The reversal of 1055235132 is 2315325501.

It is a happy number.

1055235132 is a `hidden beast` number, since 1 + 0 + 5 + 523 + 5 + 132 = 666.

It is a super-2 number, since 2×10552351322 = 2227042367614114848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055235096 and 1055235105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9948 + ... + 47004.

Almost surely, 21055235132 is an apocalyptic number.

1055235132 is a gapful number since it is divisible by the number (12) 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 1055235132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537758768).

1055235132 is an abundant number, since it is smaller than the sum of its proper divisors (2020282404).

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

1055235132 is a wasteful number, since it uses less digits than its factorization.

1055235132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37187 (or 37182 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1055235132 is about 32484.3828939384. The cubic root of 1055235132 is about 1018.0827537479.

The spelling of 1055235132 in words is "one billion, fifty-five million, two hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 37057 74114 111171 148228 222342 259399 333513 444684 518798 667026 778197 1037596 1334052 1556394 2334591 3112788 4187441 4669182 8374882 9338364 12562323 16749764 25124646 29312087 37686969 50249292 58624174 75373938 87936261 117248348 150747876 175872522 263808783 351745044 527617566 1055235132