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1090055232 = 26357171931
BaseRepresentation
bin100000011111000…
…1110110001000000
32210222010112200000
41000332032301000
54213023231412
6300055400000
736004213410
oct10076166100
92728115600
101090055232
1150a3426a2
12265083000
13144aab2c6
14a4ab0640
1565a6e4dc
hex40f8ec40

1090055232 has 672 divisors, whose sum is σ = 4260372480. Its totient is φ = 268738560.

The previous prime is 1090055209. The next prime is 1090055273. The reversal of 1090055232 is 2325500901.

1090055232 is a `hidden beast` number, since 109 + 0 + 0 + 552 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1090055196 and 1090055205.

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, 35163057 + ... + 35163087.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 21090055232 is an apocalyptic number.

1090055232 is a gapful number since it is divisible by the number (12) 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 1090055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130186240).

1090055232 is an abundant number, since it is smaller than the sum of its proper divisors (3170317248).

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

1090055232 is a wasteful number, since it uses less digits than its factorization.

1090055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1090055232 is about 33015.9844923637. The cubic root of 1090055232 is about 1029.1598490292.

The spelling of 1090055232 in words is "one billion, ninety million, fifty-five thousand, two hundred thirty-two".