Search a number
-
+
2101398 = 231329929
BaseRepresentation
bin1000000001000010010110
310221202120120
420001002112
51014221043
6113012410
723601345
oct10010226
93852516
102101398
1112058a2
12854106
13587640
143c9b5c
152b7983
hex201096

2101398 has 32 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 623616.

The previous prime is 2101391. The next prime is 2101423. The reversal of 2101398 is 8931012.

It is a d-powerful number, because it can be written as 211 + 1 + 0 + 1 + 37 + 9 + 87 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798 + ... + 2726.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

22101398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2101398 is an abundant number, since it is smaller than the sum of its proper divisors (2585802).

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

2101398 is a wasteful number, since it uses less digits than its factorization.

2101398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976.

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

The square root of 2101398 is about 1449.6199501938. The cubic root of 2101398 is about 128.0863268568.

The spelling of 2101398 in words is "two million, one hundred one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 929 1131 1858 2262 2787 5574 12077 24154 26941 36231 53882 72462 80823 161646 350233 700466 1050699 2101398