Search a number
-
+
1139414640 = 2435721329257
BaseRepresentation
bin100001111101010…
…0001011001110000
32221102000021001020
41003322201121300
54313142232030
6305021335440
740143602400
oct10372413160
92842007036
101139414640
115351960a1
12279707580
131520a0c60
14ab47c800
156a06e510
hex43ea1670

1139414640 has 480 divisors, whose sum is σ = 4595330880. Its totient is φ = 231211008.

The previous prime is 1139414623. The next prime is 1139414651. The reversal of 1139414640 is 464149311.

It is a congruent number.

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, 4433392 + ... + 4433648.

It is an arithmetic number, because the mean of its divisors is an integer number (9573606).

Almost surely, 21139414640 is an apocalyptic number.

1139414640 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 1139414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297665440).

1139414640 is an abundant number, since it is smaller than the sum of its proper divisors (3455916240).

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

1139414640 is a wasteful number, since it uses less digits than its factorization.

1139414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1139414640 is about 33755.2164857522. The cubic root of 1139414640 is about 1044.4650971555.

The spelling of 1139414640 in words is "one billion, one hundred thirty-nine million, four hundred fourteen thousand, six hundred forty".