Search a number
-
+
6006306980 = 22519103153457
BaseRepresentation
bin1011001100000000…
…01111100010100100
3120111120221000020002
411212000033202210
544300103310410
62432000000432
7301561524032
oct54600174244
916446830202
106006306980
112602449373
1211b7600118
137494966cb
1440d9b1552
152524817a5
hex16600f8a4

6006306980 has 48 divisors (see below), whose sum is σ = 13406090880. Its totient is φ = 2253961728.

The previous prime is 6006306979. The next prime is 6006306997. The reversal of 6006306980 is 896036006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 15 ways as a sum of consecutive naturals, for example, 37589 + ... + 115868.

It is an arithmetic number, because the mean of its divisors is an integer number (279293560).

Almost surely, 26006306980 is an apocalyptic number.

It is an amenable number.

6006306980 is an abundant number, since it is smaller than the sum of its proper divisors (7399783900).

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

6006306980 is a wasteful number, since it uses less digits than its factorization.

6006306980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153588 (or 153586 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 6006306980 is about 77500.3676120314. The cubic root of 6006306980 is about 1817.7570667180.

The spelling of 6006306980 in words is "six billion, six million, three hundred six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1957 2060 3914 7828 9785 19570 39140 153457 306914 613828 767285 1534570 2915683 3069140 5831366 11662732 14578415 15806071 29156830 31612142 58313660 63224284 79030355 158060710 300315349 316121420 600630698 1201261396 1501576745 3003153490 6006306980