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2098180 = 225722141
BaseRepresentation
bin1000000000010000000100
310221121011101
420000100010
51014120210
6112545444
723556100
oct10002004
93847141
102098180
111203437
12852284
13586036
143c8900
152b6a3a
hex200404

2098180 has 36 divisors (see below), whose sum is σ = 5127948. Its totient is φ = 719040.

The previous prime is 2098171. The next prime is 2098183. The reversal of 2098180 is 818902.

It can be written as a sum of positive squares in 2 ways, for example, as 1483524 + 614656 = 1218^2 + 784^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2098183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 2050.

It is an arithmetic number, because the mean of its divisors is an integer number (142443).

22098180 is an apocalyptic number.

2098180 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 2098180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563974).

2098180 is an abundant number, since it is smaller than the sum of its proper divisors (3029768).

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

2098180 is a wasteful number, since it uses less digits than its factorization.

2098180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 2098180 is about 1448.5095788430. The cubic root of 2098180 is about 128.0209112971.

It can be divided in two parts, 2098 and 180, that added together give a triangular number (2278 = T67).

The spelling of 2098180 in words is "two million, ninety-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2141 4282 8564 10705 14987 21410 29974 42820 59948 74935 104909 149870 209818 299740 419636 524545 1049090 2098180