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2185380 = 223451971
BaseRepresentation
bin1000010101100010100100
311010000210000
420111202210
51024413010
6114501300
724401241
oct10254244
94100700
102185380
1112629aa
12894830
135b6932
1440c5c8
152d27c0
hex2158a4

2185380 has 120 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 544320.

The previous prime is 2185373. The next prime is 2185387. The reversal of 2185380 is 835812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2185373) and next prime (2185387).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185387) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30745 + ... + 30815.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

22185380 is an apocalyptic number.

2185380 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 2185380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2185380 is an abundant number, since it is smaller than the sum of its proper divisors (5132700).

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

2185380 is a wasteful number, since it uses less digits than its factorization.

2185380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2185380 is about 1478.3030812388. The cubic root of 2185380 is about 129.7704034204.

The spelling of 2185380 in words is "two million, one hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 71 76 81 90 95 108 114 135 142 162 171 180 190 213 228 270 284 285 324 342 355 380 405 426 513 540 570 639 684 710 810 852 855 1026 1065 1140 1278 1349 1420 1539 1620 1710 1917 2052 2130 2556 2565 2698 3078 3195 3420 3834 4047 4260 5130 5396 5751 6156 6390 6745 7668 7695 8094 9585 10260 11502 12141 12780 13490 15390 16188 19170 20235 23004 24282 26980 28755 30780 36423 38340 40470 48564 57510 60705 72846 80940 109269 115020 121410 145692 182115 218538 242820 364230 437076 546345 728460 1092690 2185380