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2180940 = 2235163223
BaseRepresentation
bin1000010100011101001100
311002210200120
420110131030
51024242230
6114424540
724352266
oct10243514
94083616
102180940
11125a633
12892150
135b48c8
1440ab36
152d1310
hex21474c

2180940 has 48 divisors (see below), whose sum is σ = 6171648. Its totient is φ = 575424.

The previous prime is 2180923. The next prime is 2180957. The reversal of 2180940 is 490812.

It is an interprime number because it is at equal distance from previous prime (2180923) and next prime (2180957).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2180940.

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, 9669 + ... + 9891.

It is an arithmetic number, because the mean of its divisors is an integer number (128576).

22180940 is an apocalyptic number.

2180940 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 2180940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085824).

2180940 is an abundant number, since it is smaller than the sum of its proper divisors (3990708).

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

2180940 is a wasteful number, since it uses less digits than its factorization.

2180940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2180940 is about 1476.8005958829. The cubic root of 2180940 is about 129.6824597160.

Subtracting from 2180940 its sum of digits (24), we obtain a triangular number (2180916 = T2088).

The spelling of 2180940 in words is "two million, one hundred eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 223 326 446 489 652 669 815 892 978 1115 1338 1630 1956 2230 2445 2676 3260 3345 4460 4890 6690 9780 13380 36349 72698 109047 145396 181745 218094 363490 436188 545235 726980 1090470 2180940