Search a number
-
+
1073132424 = 2332713243293
BaseRepresentation
bin111111111101101…
…011001110001000
32202210021202221100
4333331223032020
54144210214144
6254252541400
735410321650
oct7775531610
92683252840
101073132424
11500834301
1225b481860
13141434700
14a2747360
156432a269
hex3ff6b388

1073132424 has 288 divisors, whose sum is σ = 3692969280. Its totient is φ = 275498496.

The previous prime is 1073132399. The next prime is 1073132441. The reversal of 1073132424 is 4242313701.

It is a happy number.

1073132424 is a `hidden beast` number, since 107 + 3 + 132 + 424 = 666.

It is a super-2 number, since 2×10731324242 = 2303226398880231552, which contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3662422 + ... + 3662714.

It is an arithmetic number, because the mean of its divisors is an integer number (12822810).

Almost surely, 21073132424 is an apocalyptic number.

1073132424 is a gapful number since it is divisible by the number (14) 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 1073132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846484640).

1073132424 is an abundant number, since it is smaller than the sum of its proper divisors (2619836856).

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

1073132424 is a wasteful number, since it uses less digits than its factorization.

1073132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1073132424 is about 32758.6999742053. The cubic root of 1073132424 is about 1023.8062402966.

The spelling of 1073132424 in words is "one billion, seventy-three million, one hundred thirty-two thousand, four hundred twenty-four".