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2191280 = 245721343
BaseRepresentation
bin1000010110111110110000
311010022212112
420112332300
51030110110
6114544452
724424400
oct10267660
94108775
102191280
111267383
12898128
135b9520
14410800
152d4405
hex216fb0

2191280 has 120 divisors (see below), whose sum is σ = 6530832. Its totient is φ = 677376.

The previous prime is 2191261. The next prime is 2191291. The reversal of 2191280 is 821912.

2191280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50939 + ... + 50981.

22191280 is an apocalyptic number.

2191280 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 2191280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265416).

2191280 is an abundant number, since it is smaller than the sum of its proper divisors (4339552).

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

2191280 is a wasteful number, since it uses less digits than its factorization.

2191280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2191280 is about 1480.2972674433. The cubic root of 2191280 is about 129.8870814340.

The spelling of 2191280 in words is "two million, one hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 43 49 52 56 65 70 80 86 91 98 104 112 130 140 172 182 196 208 215 245 260 280 301 344 364 392 430 455 490 520 559 560 602 637 688 728 784 860 910 980 1040 1118 1204 1274 1456 1505 1720 1820 1960 2107 2236 2408 2548 2795 3010 3185 3440 3640 3913 3920 4214 4472 4816 5096 5590 6020 6370 7280 7826 8428 8944 10192 10535 11180 12040 12740 15652 16856 19565 21070 22360 24080 25480 27391 31304 33712 39130 42140 44720 50960 54782 62608 78260 84280 109564 136955 156520 168560 219128 273910 313040 438256 547820 1095640 2191280