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1084513140 = 2232541146953
BaseRepresentation
bin100000010100100…
…0101101101110100
32210120200222100100
41000221011231310
54210113410030
6255340514100
735606131614
oct10051055564
92716628310
101084513140
115071a7857
1226324b930
131438ba869
14a406aa44
1565327360
hex40a45b74

1084513140 has 72 divisors (see below), whose sum is σ = 3369949128. Its totient is φ = 282147840.

The previous prime is 1084513123. The next prime is 1084513153. The reversal of 1084513140 is 413154801.

It is a happy number.

1084513140 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 513 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87721956 + 996791184 = 9366^2 + 31572^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66097 + ... + 80856.

It is an arithmetic number, because the mean of its divisors is an integer number (46804849).

Almost surely, 21084513140 is an apocalyptic number.

1084513140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1084513140 is an abundant number, since it is smaller than the sum of its proper divisors (2285435988).

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

1084513140 is a wasteful number, since it uses less digits than its factorization.

1084513140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147009 (or 147004 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1084513140 is about 32931.9471030791. The cubic root of 1084513140 is about 1027.4127227979.

Adding to 1084513140 its reverse (413154801), we get a palindrome (1497667941).

The spelling of 1084513140 in words is "one billion, eighty-four million, five hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 146953 293906 440859 587812 734765 881718 1322577 1469530 1763436 2204295 2645154 2939060 4408590 5290308 6025073 6612885 8817180 12050146 13225770 18075219 24100292 26451540 30125365 36150438 54225657 60250730 72300876 90376095 108451314 120501460 180752190 216902628 271128285 361504380 542256570 1084513140