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2141802 = 23613113
BaseRepresentation
bin1000001010111001101010
311000211000000
420022321222
51022014202
6113523430
724130215
oct10127152
94024000
102141802
111233193
12873576
1359cb50
143da77c
152c491c
hex20ae6a

2141802 has 56 divisors (see below), whose sum is σ = 5233284. Its totient is φ = 653184.

The previous prime is 2141801. The next prime is 2141803. The reversal of 2141802 is 2081412.

It is an interprime number because it is at equal distance from previous prime (2141801) and next prime (2141803).

It can be written as a sum of positive squares in 2 ways, for example, as 1610361 + 531441 = 1269^2 + 729^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2141801) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18898 + ... + 19010.

22141802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616642).

2141802 is an abundant number, since it is smaller than the sum of its proper divisors (3091482).

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

2141802 is a wasteful number, since it uses less digits than its factorization.

2141802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2141802 is about 1463.4896651497. The cubic root of 2141802 is about 128.9020348704.

It can be divided in two parts, 214 and 1802, that added together give a triangular number (2016 = T63).

The spelling of 2141802 in words is "two million, one hundred forty-one thousand, eight hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 113 117 162 226 234 243 339 351 486 678 702 729 1017 1053 1458 1469 2034 2106 2938 3051 3159 4407 6102 6318 8814 9153 9477 13221 18306 18954 26442 27459 39663 54918 79326 82377 118989 164754 237978 356967 713934 1070901 2141802