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1318143960 = 23325717291061
BaseRepresentation
bin100111010010001…
…0100011111011000
310101212022122120200
41032210110133120
510144421101320
6334444222200
744444016210
oct11644243730
93355278520
101318143960
11617070081
1230953a960
1318011b653
14c70c5240
157aac6290
hex4e9147d8

1318143960 has 384 divisors, whose sum is σ = 5367772800. Its totient is φ = 273530880.

The previous prime is 1318143949. The next prime is 1318143979. The reversal of 1318143960 is 693418131.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1241830 + ... + 1242890.

It is an arithmetic number, because the mean of its divisors is an integer number (13978575).

Almost surely, 21318143960 is an apocalyptic number.

1318143960 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 1318143960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683886400).

1318143960 is an abundant number, since it is smaller than the sum of its proper divisors (4049628840).

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

1318143960 is a wasteful number, since it uses less digits than its factorization.

1318143960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1318143960 is about 36306.2523541056. The cubic root of 1318143960 is about 1096.4469268790.

The spelling of 1318143960 in words is "one billion, three hundred eighteen million, one hundred forty-three thousand, nine hundred sixty".