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1091220948 = 223261496913
BaseRepresentation
bin100000100001010…
…1011010111010100
32211001022202201200
41001002223113110
54213323032243
6300140352500
736020140116
oct10102532724
92731282650
101091220948
1150aa694a4
12265545730
131450c8a8c
14a4cd53b6
1565beead3
hex410ab5d4

1091220948 has 36 divisors (see below), whose sum is σ = 2803588788. Its totient is φ = 357776640.

The previous prime is 1091220943. The next prime is 1091220959. The reversal of 1091220948 is 8490221901.

It can be written as a sum of positive squares in 2 ways, for example, as 563967504 + 527253444 = 23748^2 + 22962^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091220943) 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 11 ways as a sum of consecutive naturals, for example, 246261 + ... + 250652.

Almost surely, 21091220948 is an apocalyptic number.

1091220948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1091220948 is an abundant number, since it is smaller than the sum of its proper divisors (1712367840).

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

1091220948 is a wasteful number, since it uses less digits than its factorization.

1091220948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496984 (or 496979 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1091220948 is about 33033.6335876028. The cubic root of 1091220948 is about 1029.5265829528.

The spelling of 1091220948 in words is "one billion, ninety-one million, two hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 496913 993826 1490739 1987652 2981478 4472217 5962956 8944434 17888868 30311693 60623386 90935079 121246772 181870158 272805237 363740316 545610474 1091220948