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1331700760 = 235136141983
BaseRepresentation
bin100111101100000…
…0010010000011000
310102210211102000101
41033120002100120
510211403411020
6340050545144
745000161335
oct11730022030
93383742011
101331700760
1162378a545
12311b981b4
13182b87120
14c8c1398c
157bda300a
hex4f602418

1331700760 has 64 divisors (see below), whose sum is σ = 3279790080. Its totient is φ = 483632640.

The previous prime is 1331700749. The next prime is 1331700809. The reversal of 1331700760 is 670071331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10729 + ... + 52711.

It is an arithmetic number, because the mean of its divisors is an integer number (51246720).

Almost surely, 21331700760 is an apocalyptic number.

1331700760 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 1331700760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639895040).

1331700760 is an abundant number, since it is smaller than the sum of its proper divisors (1948089320).

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

1331700760 is a wasteful number, since it uses less digits than its factorization.

1331700760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42068 (or 42064 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 1331700760 is about 36492.4753887702. The cubic root of 1331700760 is about 1100.1930129627.

The spelling of 1331700760 in words is "one billion, three hundred thirty-one million, seven hundred thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 15860 31720 41983 83966 167932 209915 335864 419830 545779 839660 1091558 1679320 2183116 2560963 2728895 4366232 5121926 5457790 10243852 10915580 12804815 20487704 21831160 25609630 33292519 51219260 66585038 102438520 133170076 166462595 266340152 332925190 665850380 1331700760