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1084942656 = 26327416563
BaseRepresentation
bin100000010101010…
…1110100101000000
32210121111210112100
41000222232211000
54210221131111
6255354030400
735612601060
oct10052564500
92717453470
101084942656
11507470526
12263418400
13143a0b205
14a413d3a0
15653ae756
hex40aae940

1084942656 has 168 divisors, whose sum is σ = 3641287104. Its totient is φ = 302376960.

The previous prime is 1084942643. The next prime is 1084942667. The reversal of 1084942656 is 6562494801.

1084942656 is a `hidden beast` number, since 108 + 494 + 2 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162031 + ... + 168593.

It is an arithmetic number, because the mean of its divisors is an integer number (21674328).

Almost surely, 21084942656 is an apocalyptic number.

1084942656 is a gapful number since it is divisible by the number (16) 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 1084942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820643552).

1084942656 is an abundant number, since it is smaller than the sum of its proper divisors (2556344448).

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

1084942656 is a wasteful number, since it uses less digits than its factorization.

1084942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1084942656 is about 32938.4677239243. The cubic root of 1084942656 is about 1027.5483387847.

The spelling of 1084942656 in words is "one billion, eighty-four million, nine hundred forty-two thousand, six hundred fifty-six".