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2013198 = 231124759
BaseRepresentation
bin111101011100000001110
310210021120220
413223200032
51003410243
6111052210
723053245
oct7534016
93707526
102013198
111155600
12811066
13556455
143a595c
1529b783
hex1eb80e

2013198 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 586960.

The previous prime is 2013197. The next prime is 2013227. The reversal of 2013198 is 8913102.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34093 + ... + 34151.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22013198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2013198 is an abundant number, since it is smaller than the sum of its proper divisors (2583282).

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

2013198 is a wasteful number, since it uses less digits than its factorization.

2013198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2013198 is about 1418.8720872580. The cubic root of 2013198 is about 126.2686382312.

It can be divided in two parts, 2013 and 198, that added together give a triangular number (2211 = T66).

The spelling of 2013198 in words is "two million, thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 47 59 66 94 118 121 141 177 242 282 354 363 517 649 726 1034 1298 1551 1947 2773 3102 3894 5546 5687 7139 8319 11374 14278 16638 17061 21417 30503 34122 42834 61006 91509 183018 335533 671066 1006599 2013198