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2114838 = 232112971
BaseRepresentation
bin1000000100010100010110
310222110000100
420010110112
51020133323
6113154530
723655465
oct10042426
93873010
102114838
111214a00
1285ba46
135907ab
143d09dc
152bb943
hex204516

2114838 has 36 divisors (see below), whose sum is σ = 5041764. Its totient is φ = 640200.

The previous prime is 2114837. The next prime is 2114857. The reversal of 2114838 is 8384112.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1693 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

22114838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520882).

2114838 is an abundant number, since it is smaller than the sum of its proper divisors (2926926).

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

2114838 is a wasteful number, since it uses less digits than its factorization.

2114838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 2114838 is about 1454.2482594110. The cubic root of 2114838 is about 128.3588158014.

The spelling of 2114838 in words is "two million, one hundred fourteen thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 971 1089 1942 2178 2913 5826 8739 10681 17478 21362 32043 64086 96129 117491 192258 234982 352473 704946 1057419 2114838