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1107339840 = 263253179157
BaseRepresentation
bin100001000000000…
…1010101001000000
32212011122200200200
41002000022221000
54231434333330
6301514045200
736304143015
oct10200125100
92764580620
101107339840
115190788a2
1226aa19800
13148550799
14a70cd70c
1567335a60
hex4200aa40

1107339840 has 336 divisors, whose sum is σ = 4006778880. Its totient is φ = 280350720.

The previous prime is 1107339803. The next prime is 1107339841. The reversal of 1107339840 is 489337011.

It is a happy number.

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 = 1107339795 and 1107339804.

It is not an unprimeable number, because it can be changed into a prime (1107339841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7053042 + ... + 7053198.

Almost surely, 21107339840 is an apocalyptic number.

1107339840 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 1107339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003389440).

1107339840 is an abundant number, since it is smaller than the sum of its proper divisors (2899439040).

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

1107339840 is a wasteful number, since it uses less digits than its factorization.

1107339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1107339840 is about 33276.7161841429. The cubic root of 1107339840 is about 1034.5710187501.

The spelling of 1107339840 in words is "one billion, one hundred seven million, three hundred thirty-nine thousand, eight hundred forty".