Search a number
-
+
3138704640 = 2835510091
BaseRepresentation
bin1011101100010100…
…1101010100000000
322002202000201100000
42323011031110000
522412002022030
61235241200000
7140531356251
oct27305152400
98082021300
103138704640
111370798285
12737190000
133b035a0a6
1421abd0b28
15135841860
hexbb14d500

3138704640 has 216 divisors, whose sum is σ = 11262914208. Its totient is φ = 836904960.

The previous prime is 3138704623. The next prime is 3138704641. The reversal of 3138704640 is 464078313.

3138704640 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 7 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 3138704595 and 3138704604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138704641) by changing a digit.

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, 305995 + ... + 316085.

Almost surely, 23138704640 is an apocalyptic number.

3138704640 is a gapful number since it is divisible by the number (30) 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 3138704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631457104).

3138704640 is an abundant number, since it is smaller than the sum of its proper divisors (8124209568).

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

3138704640 is an equidigital number, since it uses as much as digits as its factorization.

3138704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3138704640 is about 56024.1433669449. The cubic root of 3138704640 is about 1464.1429583591.

The spelling of 3138704640 in words is "three billion, one hundred thirty-eight million, seven hundred four thousand, six hundred forty".