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1109891952 = 243213259773
BaseRepresentation
bin100001000100111…
…1001101101110000
32212100110100112100
41002021321231300
54233113020302
6302044500400
736334632411
oct10211715560
92770410470
101109891952
1151a561284
1226b84a700
13148c35300
14a7595808
156768bd1c
hex42279b70

1109891952 has 180 divisors, whose sum is σ = 3424903560. Its totient is φ = 335282688.

The previous prime is 1109891947. The next prime is 1109891953. The reversal of 1109891952 is 2591989011.

It is a super-2 number, since 2×11098919522 = 2463720290228740608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1109891898 and 1109891907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109891953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1435438 + ... + 1436210.

It is an arithmetic number, because the mean of its divisors is an integer number (19027242).

Almost surely, 21109891952 is an apocalyptic number.

1109891952 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 1109891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712451780).

1109891952 is an abundant number, since it is smaller than the sum of its proper divisors (2315011608).

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

1109891952 is a wasteful number, since it uses less digits than its factorization.

1109891952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The square root of 1109891952 is about 33315.0409274850. The cubic root of 1109891952 is about 1035.3652089318.

The spelling of 1109891952 in words is "one billion, one hundred nine million, eight hundred ninety-one thousand, nine hundred fifty-two".