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1081216752 = 243721123279
BaseRepresentation
bin100000001110010…
…0000111011110000
32210100111111112220
41000130200323300
54203242414002
6255142121040
735536122300
oct10034407360
92710444486
101081216752
11505356170
12262120180
13143005335
14a384d600
1564dc57bc
hex40720ef0

1081216752 has 360 divisors, whose sum is σ = 3752259840. Its totient is φ = 265224960.

The previous prime is 1081216751. The next prime is 1081216769. The reversal of 1081216752 is 2576121801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081216751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13686249 + ... + 13686327.

It is an arithmetic number, because the mean of its divisors is an integer number (10422944).

Almost surely, 21081216752 is an apocalyptic number.

1081216752 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 1081216752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876129920).

1081216752 is an abundant number, since it is smaller than the sum of its proper divisors (2671043088).

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

1081216752 is a wasteful number, since it uses less digits than its factorization.

1081216752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1081216752 is about 32881.8605313021. The cubic root of 1081216752 is about 1026.3707227811.

The spelling of 1081216752 in words is "one billion, eighty-one million, two hundred sixteen thousand, seven hundred fifty-two".