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1010240532 = 223373473851
BaseRepresentation
bin111100001101110…
…000110000010100
32121101221112111000
4330031300300110
54032110144112
6244124543300
734014621450
oct7415606024
92541845430
101010240532
11479288734
122423b1b30
131313b4382
1498255660
155da557dc
hex3c370c14

1010240532 has 96 divisors (see below), whose sum is σ = 3002711040. Its totient is φ = 287733600.

The previous prime is 1010240519. The next prime is 1010240537. The reversal of 1010240532 is 2350420101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010240537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 260407 + ... + 264257.

It is an arithmetic number, because the mean of its divisors is an integer number (31278240).

Almost surely, 21010240532 is an apocalyptic number.

1010240532 is a gapful number since it is divisible by the number (12) 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 1010240532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501355520).

1010240532 is an abundant number, since it is smaller than the sum of its proper divisors (1992470508).

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

1010240532 is a wasteful number, since it uses less digits than its factorization.

1010240532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1010240532 is about 31784.2812094280. The cubic root of 1010240532 is about 1003.4019244531.

Adding to 1010240532 its reverse (2350420101), we get a palindrome (3360660633).

The spelling of 1010240532 in words is "one billion, ten million, two hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 347 378 694 756 1041 1388 2082 2429 3123 3851 4164 4858 6246 7287 7702 9369 9716 11553 12492 14574 15404 18738 21861 23106 26957 29148 34659 37476 43722 46212 53914 65583 69318 80871 87444 103977 107828 131166 138636 161742 207954 242613 262332 323484 415908 485226 727839 970452 1336297 1455678 2672594 2911356 4008891 5345188 8017782 9354079 12026673 16035564 18708158 24053346 28062237 36080019 37416316 48106692 56124474 72160038 84186711 112248948 144320076 168373422 252560133 336746844 505120266 1010240532