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1086396960 = 253511376783
BaseRepresentation
bin100000011000001…
…0001101000100000
32210201020200110110
41000300101220200
54211104200320
6255445131320
735631136035
oct10060215040
92721220413
101086396960
11508274130
122639b9b40
131440ca14c
14a43db38c
156559a5e0
hex40c11a20

1086396960 has 384 divisors, whose sum is σ = 3938264064. Its totient is φ = 249384960.

The previous prime is 1086396943. The next prime is 1086396979. The reversal of 1086396960 is 696936801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13089079 + ... + 13089161.

It is an arithmetic number, because the mean of its divisors is an integer number (10255896).

Almost surely, 21086396960 is an apocalyptic number.

1086396960 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 1086396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969132032).

1086396960 is an abundant number, since it is smaller than the sum of its proper divisors (2851867104).

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

1086396960 is a wasteful number, since it uses less digits than its factorization.

1086396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 1086396960 is about 32960.5364034022. The cubic root of 1086396960 is about 1028.0072571871.

The spelling of 1086396960 in words is "one billion, eighty-six million, three hundred ninety-six thousand, nine hundred sixty".