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2163480 = 2335112149
BaseRepresentation
bin1000010000001100011000
311001220201220
420100030120
51023212410
6114212040
724250344
oct10201430
94056656
102163480
111248500
12884020
135a9987
14404624
152cb070
hex210318

2163480 has 96 divisors (see below), whose sum is σ = 7182000. Its totient is φ = 520960.

The previous prime is 2163479. The next prime is 2163481. The reversal of 2163480 is 843612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2163479) and next prime (2163481).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 221 + 1 + 62 + 35 + 48 + 83 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2163480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14446 + ... + 14594.

22163480 is an apocalyptic number.

2163480 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 2163480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591000).

2163480 is an abundant number, since it is smaller than the sum of its proper divisors (5018520).

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

2163480 is a wasteful number, since it uses less digits than its factorization.

2163480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2163480 is about 1470.8772892393. The cubic root of 2163480 is about 129.3354648271.

The spelling of 2163480 in words is "two million, one hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 149 165 220 242 264 298 330 363 440 447 484 596 605 660 726 745 894 968 1192 1210 1320 1452 1490 1639 1788 1815 2235 2420 2904 2980 3278 3576 3630 4470 4840 4917 5960 6556 7260 8195 8940 9834 13112 14520 16390 17880 18029 19668 24585 32780 36058 39336 49170 54087 65560 72116 90145 98340 108174 144232 180290 196680 216348 270435 360580 432696 540870 721160 1081740 2163480