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1120521006 = 23311711632
BaseRepresentation
bin100001011001001…
…1100101100101110
32220002110100212000
41002302130230232
54243323133011
6303104353130
736524162043
oct10262345456
92802410760
101120521006
11525561020
122733157a6
1314b1b72a7
14a8b611ca
156858b356
hex42c9cb2e

1120521006 has 96 divisors (see below), whose sum is σ = 2771677440. Its totient is φ = 332715600.

The previous prime is 1120520993. The next prime is 1120521007. The reversal of 1120521006 is 6001250211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1120521006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120521007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6874281 + ... + 6874443.

It is an arithmetic number, because the mean of its divisors is an integer number (28871640).

Almost surely, 21120521006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120521006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385838720).

1120521006 is an abundant number, since it is smaller than the sum of its proper divisors (1651156434).

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

1120521006 is a wasteful number, since it uses less digits than its factorization.

1120521006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1120521006 is about 33474.1841722842. The cubic root of 1120521006 is about 1038.6598263940.

Adding to 1120521006 its reverse (6001250211), we get a palindrome (7121771217).

The spelling of 1120521006 in words is "one billion, one hundred twenty million, five hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 163 198 213 297 326 426 489 594 639 781 978 1278 1467 1562 1793 1917 2343 2934 3586 3834 4401 4686 5379 7029 8802 10758 11573 14058 16137 21087 23146 26569 32274 34719 42174 48411 53138 69438 79707 96822 104157 127303 159414 208314 239121 254606 292259 312471 381909 478242 584518 624942 717363 763818 876777 1145727 1434726 1753554 1886399 2291454 2630331 3437181 3772798 5260662 5659197 6874362 7890993 11318394 15781986 16977591 20750389 33955182 41500778 50932773 62251167 101865546 124502334 186753501 373507002 560260503 1120521006