[go: up one dir, main page]

Search a number
-
+
2112878320 = 245717221941
BaseRepresentation
bin111110111101111…
…1111011011110000
312110020202100011121
41331323333123300
513311344101240
6545354152024
7103234112050
oct17573773360
95406670147
102112878320
11994734833
124ab722614
13278979877
1416087d560
15c575d04a
hex7deff6f0

2112878320 has 80 divisors (see below), whose sum is σ = 5944494528. Its totient is φ = 681799680.

The previous prime is 2112878309. The next prime is 2112878333. The reversal of 2112878320 is 238782112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101451 + ... + 120490.

Almost surely, 22112878320 is an apocalyptic number.

2112878320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112878320 is an abundant number, since it is smaller than the sum of its proper divisors (3831616208).

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

2112878320 is a wasteful number, since it uses less digits than its factorization.

2112878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221978 (or 221972 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 2112878320 is about 45966.0561719189. The cubic root of 2112878320 is about 1283.1915635076.

The spelling of 2112878320 in words is "two billion, one hundred twelve million, eight hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 221941 443882 887764 1109705 1553587 1775528 2219410 3107174 3551056 3772997 4438820 6214348 7545994 7767935 8877640 12428696 15091988 15535870 17755280 18864985 24857392 26410979 30183976 31071740 37729970 52821958 60367952 62143480 75459940 105643916 124286960 132054895 150919880 211287832 264109790 301839760 422575664 528219580 1056439160 2112878320