Search a number
-
+
1086483840 = 273513192979
BaseRepresentation
bin100000011000010…
…0110110110000000
32210201102002122020
41000300212312000
54211114440330
6255451041440
735631650241
oct10060466600
92721362566
101086483840
11508323432
12263a40280
1314412a860
14a4420cc8
15655b6210
hex40c26d80

1086483840 has 512 divisors, whose sum is σ = 4112640000. Its totient is φ = 241532928.

The previous prime is 1086483833. The next prime is 1086483863. The reversal of 1086483840 is 483846801.

It is a super-2 number, since 2×10864838402 = 2360894269162291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1086483792 and 1086483801.

It is a congruent number.

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, 13752921 + ... + 13752999.

It is an arithmetic number, because the mean of its divisors is an integer number (8032500).

Almost surely, 21086483840 is an apocalyptic number.

1086483840 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 1086483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320000).

1086483840 is an abundant number, since it is smaller than the sum of its proper divisors (3026156160).

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

1086483840 is a wasteful number, since it uses less digits than its factorization.

1086483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1086483840 is about 32961.8543167705. The cubic root of 1086483840 is about 1028.0346599668.

The spelling of 1086483840 in words is "one billion, eighty-six million, four hundred eighty-three thousand, eight hundred forty".