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2114940 = 2235101349
BaseRepresentation
bin1000000100010101111100
310222110011010
420010111330
51020134230
6113155220
723656002
oct10042574
93873133
102114940
111214a93
1285bb10
13590859
143d0a72
152bb9b0
hex20457c

2114940 has 48 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 556800.

The previous prime is 2114933. The next prime is 2114951. The reversal of 2114940 is 494112.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5886 + ... + 6234.

It is an arithmetic number, because the mean of its divisors is an integer number (124950).

22114940 is an apocalyptic number.

2114940 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 2114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998800).

2114940 is an abundant number, since it is smaller than the sum of its proper divisors (3882660).

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

2114940 is a wasteful number, since it uses less digits than its factorization.

2114940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2114940 is about 1454.2833286537. The cubic root of 2114940 is about 128.3608793777.

It can be divided in two parts, 211 and 4940, that added together give a triangular number (5151 = T101).

The spelling of 2114940 in words is "two million, one hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 349 404 505 606 698 1010 1047 1212 1396 1515 1745 2020 2094 3030 3490 4188 5235 6060 6980 10470 20940 35249 70498 105747 140996 176245 211494 352490 422988 528735 704980 1057470 2114940