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2148720 = 243571279
BaseRepresentation
bin1000001100100101110000
311001011111020
420030211300
51022224340
6114015440
724156330
oct10144560
94034436
102148720
111238402
12877580
135a3042
143dd0c0
152c69d0
hex20c970

2148720 has 80 divisors (see below), whose sum is σ = 7618560. Its totient is φ = 490752.

The previous prime is 2148719. The next prime is 2148733. The reversal of 2148720 is 278412.

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 (24).

It is a congruent number.

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, 1041 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (95232).

22148720 is an apocalyptic number.

2148720 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 2148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809280).

2148720 is an abundant number, since it is smaller than the sum of its proper divisors (5469840).

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

2148720 is a wasteful number, since it uses less digits than its factorization.

2148720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2148720 is about 1465.8512885010. The cubic root of 2148720 is about 129.0406698280.

The spelling of 2148720 in words is "two million, one hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1279 1680 2558 3837 5116 6395 7674 8953 10232 12790 15348 17906 19185 20464 25580 26859 30696 35812 38370 44765 51160 53718 61392 71624 76740 89530 102320 107436 134295 143248 153480 179060 214872 268590 306960 358120 429744 537180 716240 1074360 2148720