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6985145240 = 2357915114639
BaseRepresentation
bin1101000000101100…
…01101101110011000
3200000210210010212222
412200112031232120
5103301144121430
63113043523212
7335045516633
oct64026155630
920023703788
106985145240
112a64a29007
12142b389508
13874204748
144a39b0c1a
152ad3829e5
hex1a058db98

6985145240 has 64 divisors (see below), whose sum is σ = 16022016000. Its totient is φ = 2740233600.

The previous prime is 6985145227. The next prime is 6985145243. The reversal of 6985145240 is 425415896.

It is a junction number, because it is equal to n+sod(n) for n = 6985145191 and 6985145200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6985145243) 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, 469841 + ... + 484479.

It is an arithmetic number, because the mean of its divisors is an integer number (250344000).

Almost surely, 26985145240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6985145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011008000).

6985145240 is an abundant number, since it is smaller than the sum of its proper divisors (9036870760).

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

6985145240 is a wasteful number, since it uses less digits than its factorization.

6985145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880 (or 14876 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 6985145240 is about 83577.1813355775. The cubic root of 6985145240 is about 1911.5770752460.

The spelling of 6985145240 in words is "six billion, nine hundred eighty-five million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 151 158 302 316 395 604 632 755 790 1208 1510 1580 3020 3160 6040 11929 14639 23858 29278 47716 58556 59645 73195 95432 117112 119290 146390 238580 292780 477160 585560 1156481 2210489 2312962 4420978 4625924 5782405 8841956 9251848 11052445 11564810 17683912 22104890 23129620 44209780 46259240 88419560 174628631 349257262 698514524 873143155 1397029048 1746286310 3492572620 6985145240