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1090554080 = 2557111741127
BaseRepresentation
bin100000100000000…
…1000100011100000
32211000001212221212
41001000020203200
54213140212310
6300114205252
736011361650
oct10100104340
92730055855
101090554080
1150a653470
12265283828
13144c24395
14a4ba0360
1565b1c205
hex410088e0

1090554080 has 384 divisors, whose sum is σ = 3511517184. Its totient is φ = 309657600.

The previous prime is 1090554061. The next prime is 1090554119. The reversal of 1090554080 is 804550901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8586977 + ... + 8587103.

It is an arithmetic number, because the mean of its divisors is an integer number (9144576).

Almost surely, 21090554080 is an apocalyptic number.

1090554080 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 1090554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755758592).

1090554080 is an abundant number, since it is smaller than the sum of its proper divisors (2420963104).

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

1090554080 is a wasteful number, since it uses less digits than its factorization.

1090554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 1090554080 is about 33023.5382719660. The cubic root of 1090554080 is about 1029.3168184565.

The spelling of 1090554080 in words is "one billion, ninety million, five hundred fifty-four thousand, eighty".