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1081020240 = 2432523292251
BaseRepresentation
bin100000001101111…
…0000111101010000
32210100010111222200
41000123300331100
54203220121430
6255134003200
735534343336
oct10033607520
92710114880
101081020240
11505231563
12262046500
13142c66a61
14a37dbb56
1564d87460
hex406f0f50

1081020240 has 240 divisors, whose sum is σ = 3920641920. Its totient is φ = 266112000.

The previous prime is 1081020233. The next prime is 1081020289. The reversal of 1081020240 is 420201801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 479115 + ... + 481365.

It is an arithmetic number, because the mean of its divisors is an integer number (16336008).

Almost surely, 21081020240 is an apocalyptic number.

1081020240 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 1081020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960320960).

1081020240 is an abundant number, since it is smaller than the sum of its proper divisors (2839621680).

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

1081020240 is a wasteful number, since it uses less digits than its factorization.

1081020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1081020240 is about 32878.8722434332. The cubic root of 1081020240 is about 1026.3085377833.

The spelling of 1081020240 in words is "one billion, eighty-one million, twenty thousand, two hundred forty".