Search a number
-
+
13003923240 = 2332571133877
BaseRepresentation
bin11000001110001100…
…00001111100101000
31020120021011202010200
430013012001330220
5203113001020430
65550211112200
7640151344440
oct140706017450
936507152120
1013003923240
115573415000
12262aba2660
1312c3146649
148b50ab120
15511979460
hex307181f28

13003923240 has 384 divisors, whose sum is σ = 53140389120. Its totient is φ = 2701416960.

The previous prime is 13003923223. The next prime is 13003923253. The reversal of 13003923240 is 4232930031.

It is a happy number.

13003923240 is a `hidden beast` number, since 1 + 30 + 0 + 392 + 3 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3352182 + ... + 3356058.

It is an arithmetic number, because the mean of its divisors is an integer number (138386430).

Almost surely, 213003923240 is an apocalyptic number.

13003923240 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 13003923240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26570194560).

13003923240 is an abundant number, since it is smaller than the sum of its proper divisors (40136465880).

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

13003923240 is a wasteful number, since it uses less digits than its factorization.

13003923240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13003923240 in words is "thirteen billion, three million, nine hundred twenty-three thousand, two hundred forty".