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2148660 = 2233523173
BaseRepresentation
bin1000001100100100110100
311001011102000
420030210310
51022224120
6114015300
724156213
oct10144464
94034360
102148660
111238358
12877530
135a2cc7
143dd07a
152c6990
hex20c934

2148660 has 96 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 544896.

The previous prime is 2148659. The next prime is 2148661. The reversal of 2148660 is 668412.

It is an interprime number because it is at equal distance from previous prime (2148659) and next prime (2148661).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12334 + ... + 12506.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

22148660 is an apocalyptic number.

2148660 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 2148660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2148660 is an abundant number, since it is smaller than the sum of its proper divisors (4867020).

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

2148660 is a wasteful number, since it uses less digits than its factorization.

2148660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2148660 is about 1465.8308224348. The cubic root of 2148660 is about 129.0394687234.

The spelling of 2148660 in words is "two million, one hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 173 180 207 230 270 276 345 346 414 460 519 540 621 690 692 828 865 1035 1038 1242 1380 1557 1730 2070 2076 2484 2595 3105 3114 3460 3979 4140 4671 5190 6210 6228 7785 7958 9342 10380 11937 12420 15570 15916 18684 19895 23355 23874 31140 35811 39790 46710 47748 59685 71622 79580 93420 107433 119370 143244 179055 214866 238740 358110 429732 537165 716220 1074330 2148660