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1085496940 = 2251112738851
BaseRepresentation
bin100000010110011…
…0101111001101100
32210122112221212101
41000230311321230
54210341400230
6255413544444
735620400053
oct10054657154
92718487771
101085496940
11507809a10
12263645124
13143b735a8
14a424539a
156546daca
hex40b35e6c

1085496940 has 48 divisors (see below), whose sum is σ = 2506420224. Its totient is φ = 391608000.

The previous prime is 1085496931. The next prime is 1085496943. The reversal of 1085496940 is 496945801.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1085496943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8515 + ... + 47365.

It is an arithmetic number, because the mean of its divisors is an integer number (52217088).

Almost surely, 21085496940 is an apocalyptic number.

1085496940 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 1085496940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253210112).

1085496940 is an abundant number, since it is smaller than the sum of its proper divisors (1420923284).

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

1085496940 is a wasteful number, since it uses less digits than its factorization.

1085496940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38998 (or 38996 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 1085496940 is about 32946.8805807166. The cubic root of 1085496940 is about 1027.7232963075.

The spelling of 1085496940 in words is "one billion, eighty-five million, four hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 13970 27940 38851 77702 155404 194255 388510 427361 777020 854722 1709444 2136805 4273610 4934077 8547220 9868154 19736308 24670385 49340770 54274847 98681540 108549694 217099388 271374235 542748470 1085496940