Search a number
-
+
840930480 = 243251326911
BaseRepresentation
bin110010000111111…
…001010010110000
32011121100200202100
4302013321102300
53210234233410
6215240020400
726560535235
oct6207712260
92147320670
10840930480
113a1757575
121b5761700
131052b4100
147d98178c
154dc5e8c0
hex321f94b0

840930480 has 180 divisors, whose sum is σ = 3058518528. Its totient is φ = 206968320.

The previous prime is 840930479. The next prime is 840930491. The reversal of 840930480 is 84039048.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118225 + ... + 125135.

Almost surely, 2840930480 is an apocalyptic number.

840930480 is a gapful number since it is divisible by the number (80) 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 840930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529259264).

840930480 is an abundant number, since it is smaller than the sum of its proper divisors (2217588048).

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

840930480 is a wasteful number, since it uses less digits than its factorization.

840930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 840930480 is about 28998.8013545388. The cubic root of 840930480 is about 943.8870579712.

The spelling of 840930480 in words is "eight hundred forty million, nine hundred thirty thousand, four hundred eighty".