Search a number
-
+
1121535540 = 2232513147563
BaseRepresentation
bin100001011011001…
…0100011000110100
32220011100220112100
41002312110120310
54244103114130
6303142222100
736535615626
oct10266243064
92804326470
101121535540
11526094284
12273724930
1314b480cc8
14a8d46c16
15686dbc60
hex42d94634

1121535540 has 72 divisors (see below), whose sum is σ = 3428032608. Its totient is φ = 296786880.

The previous prime is 1121535533. The next prime is 1121535557. The reversal of 1121535540 is 455351211.

1121535540 is a `hidden beast` number, since 1 + 121 + 535 + 5 + 4 + 0 = 666.

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, 202 + ... + 47361.

It is an arithmetic number, because the mean of its divisors is an integer number (47611564).

Almost surely, 21121535540 is an apocalyptic number.

1121535540 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 1121535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714016304).

1121535540 is an abundant number, since it is smaller than the sum of its proper divisors (2306497068).

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

1121535540 is a wasteful number, since it uses less digits than its factorization.

1121535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47709 (or 47704 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1121535540 is about 33489.3347201762. The cubic root of 1121535540 is about 1038.9732037826.

Adding to 1121535540 its reverse (455351211), we get a palindrome (1576886751).

The spelling of 1121535540 in words is "one billion, one hundred twenty-one million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 47563 95126 142689 190252 237815 285378 428067 475630 570756 713445 856134 951260 1426890 1712268 2140335 2853780 4280670 6230753 8561340 12461506 18692259 24923012 31153765 37384518 56076777 62307530 74769036 93461295 112153554 124615060 186922590 224307108 280383885 373845180 560767770 1121535540