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1090740168 = 23347376797
BaseRepresentation
bin100000100000011…
…0101111111001000
32211000102100020000
41001000311333020
54213212141133
6300122203000
736013065330
oct10100657710
92730370200
101090740168
1150a770261
12265353460
13144c8acab
14a4c0c0c0
1565b57413
hex41035fc8

1090740168 has 320 divisors, whose sum is σ = 3676928640. Its totient is φ = 295612416.

The previous prime is 1090740151. The next prime is 1090740169. The reversal of 1090740168 is 8610470901.

It is a super-2 number, since 2×10907401682 = 2379428228177336448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1090740169) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11244696 + ... + 11244792.

It is an arithmetic number, because the mean of its divisors is an integer number (11490402).

Almost surely, 21090740168 is an apocalyptic number.

1090740168 is a gapful number since it is divisible by the number (18) 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 1090740168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838464320).

1090740168 is an abundant number, since it is smaller than the sum of its proper divisors (2586188472).

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

1090740168 is a wasteful number, since it uses less digits than its factorization.

1090740168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1090740168 is about 33026.3556572626. The cubic root of 1090740168 is about 1029.3753613623.

The spelling of 1090740168 in words is "one billion, ninety million, seven hundred forty thousand, one hundred sixty-eight".