Search a number
-
+
701135424 = 263211412699
BaseRepresentation
bin101001110010100…
…111101001000000
31210212022100222200
4221302213221000
52413442313144
6153323433200
723242360413
oct5162475100
91725270880
10701135424
1132a855470
12176985800
13b2349142
1469191b7a
1541848c69
hex29ca7a40

701135424 has 168 divisors, whose sum is σ = 2246680800. Its totient is φ = 207206400.

The previous prime is 701135417. The next prime is 701135441. The reversal of 701135424 is 424531107.

701135424 is a `hidden beast` number, since 7 + 0 + 113 + 542 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258427 + ... + 261125.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2701135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123340400).

701135424 is an abundant number, since it is smaller than the sum of its proper divisors (1545545376).

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

701135424 is a wasteful number, since it uses less digits than its factorization.

701135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 701135424 is about 26478.9619131869. The cubic root of 701135424 is about 888.3838126572.

The spelling of 701135424 in words is "seven hundred one million, one hundred thirty-five thousand, four hundred twenty-four".