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2307147040 = 2551110112979
BaseRepresentation
bin1000100110000100…
…0100010100100000
312221210022012202101
42021201010110200
514211112201130
61020534100144
7111113266132
oct21141042440
95853265671
102307147040
11a843627a0
125447aa654
132a9ca8283
1417c5ad052
15d78341ca
hex89844520

2307147040 has 96 divisors (see below), whose sum is σ = 6005482560. Its totient is φ = 830592000.

The previous prime is 2307147023. The next prime is 2307147041. The reversal of 2307147040 is 407417032.

It is not an unprimeable number, because it can be changed into a prime (2307147041) 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, 171271 + ... + 184249.

It is an arithmetic number, because the mean of its divisors is an integer number (62557110).

Almost surely, 22307147040 is an apocalyptic number.

2307147040 is a gapful number since it is divisible by the number (20) 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 2307147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002741280).

2307147040 is an abundant number, since it is smaller than the sum of its proper divisors (3698335520).

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

2307147040 is a wasteful number, since it uses less digits than its factorization.

2307147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2307147040 is about 48032.7704801628. The cubic root of 2307147040 is about 1321.3719741845.

The spelling of 2307147040 in words is "two billion, three hundred seven million, one hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 12979 16160 17776 22220 25958 35552 44440 51916 64895 88880 103832 129790 142769 177760 207664 259580 285538 415328 519160 571076 713845 1038320 1142152 1310879 1427690 2076640 2284304 2621758 2855380 4568608 5243516 5710760 6554395 10487032 11421520 13108790 14419669 20974064 22843040 26217580 28839338 41948128 52435160 57678676 72098345 104870320 115357352 144196690 209740640 230714704 288393380 461429408 576786760 1153573520 2307147040