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1090926144 = 2635711911
BaseRepresentation
bin100000100000110…
…0011011001000000
32211000202210100000
41001001203121000
54213234114034
6300130200000
736014501460
oct10101433100
92730683300
101090926144
1150a887a60
12265423000
13145024839
14a4c59ba0
1565b92599
hex41063640

1090926144 has 336 divisors, whose sum is σ = 4047353856. Its totient is φ = 283046400.

The previous prime is 1090926127. The next prime is 1090926163. The reversal of 1090926144 is 4416290901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 1090926099 and 1090926108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197049 + ... + 1197959.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 21090926144 is an apocalyptic number.

1090926144 is a gapful number since it is divisible by the number (14) 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 1090926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

1090926144 is an abundant number, since it is smaller than the sum of its proper divisors (2956427712).

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

1090926144 is an equidigital number, since it uses as much as digits as its factorization.

1090926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1090926144 is about 33029.1711067656. The cubic root of 1090926144 is about 1029.4338623810.

The spelling of 1090926144 in words is "one billion, ninety million, nine hundred twenty-six thousand, one hundred forty-four".