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5432632740 = 223453353477
BaseRepresentation
bin1010000111100111…
…10110010110100100
3112000121110100010000
411003303312112210
542111223221430
62255024101300
7251424421263
oct50363662644
915017410100
105432632740
112338641427
121077464830
136876875b2
1439771c5da
1521be13e60
hex143cf65a4

5432632740 has 60 divisors (see below), whose sum is σ = 17042375196. Its totient is φ = 1448701632.

The previous prime is 5432632697. The next prime is 5432632747. The reversal of 5432632740 is 472362345.

5432632740 is a `hidden beast` number, since 5 + 4 + 326 + 327 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1184461056 + 4248171684 = 34416^2 + 65178^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5432632695 and 5432632704.

It is not an unprimeable number, because it can be changed into a prime (5432632747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1675119 + ... + 1678358.

Almost surely, 25432632740 is an apocalyptic number.

It is an amenable number.

5432632740 is an abundant number, since it is smaller than the sum of its proper divisors (11609742456).

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

5432632740 is a wasteful number, since it uses less digits than its factorization.

5432632740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353498 (or 3353487 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5432632740 is about 73706.3955162644. The cubic root of 5432632740 is about 1757.9375742257.

The spelling of 5432632740 in words is "five billion, four hundred thirty-two million, six hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3353477 6706954 10060431 13413908 16767385 20120862 30181293 33534770 40241724 50302155 60362586 67069540 90543879 100604310 120725172 150906465 181087758 201208620 271631637 301812930 362175516 452719395 543263274 603625860 905438790 1086526548 1358158185 1810877580 2716316370 5432632740