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2107943328 = 25361734931
BaseRepresentation
bin111110110100100…
…1010100110100000
312102220110121122010
41331221022212200
513304113141303
6545100312520
7103144136241
oct17551124640
95386417563
102107943328
11991974027
124a9b42740
1327793c55a
1415dd56cc8
15c50d5c03
hex7da4a9a0

2107943328 has 96 divisors (see below), whose sum is σ = 5702260032. Its totient is φ = 681523200.

The previous prime is 2107943309. The next prime is 2107943359. The reversal of 2107943328 is 8233497012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425023 + ... + 429953.

It is an arithmetic number, because the mean of its divisors is an integer number (59398542).

Almost surely, 22107943328 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 2107943328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851130016).

2107943328 is an abundant number, since it is smaller than the sum of its proper divisors (3594316704).

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

2107943328 is a wasteful number, since it uses less digits than its factorization.

2107943328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2107943328 is about 45912.3439610743. The cubic root of 2107943328 is about 1282.1917462291.

The spelling of 2107943328 in words is "two billion, one hundred seven million, nine hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 73 96 122 146 183 219 244 292 366 438 488 584 732 876 976 1168 1464 1752 1952 2336 2928 3504 4453 4931 5856 7008 8906 9862 13359 14793 17812 19724 26718 29586 35624 39448 53436 59172 71248 78896 106872 118344 142496 157792 213744 236688 300791 359963 427488 473376 601582 719926 902373 1079889 1203164 1439852 1804746 2159778 2406328 2879704 3609492 4319556 4812656 5759408 7218984 8639112 9625312 11518816 14437968 17278224 21957743 28875936 34556448 43915486 65873229 87830972 131746458 175661944 263492916 351323888 526985832 702647776 1053971664 2107943328