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2114920 = 235371429
BaseRepresentation
bin1000000100010101101000
310222110010101
420010111220
51020134140
6113155144
723655643
oct10042550
93873111
102114920
111214a75
1285bab4
13590842
143d0a5a
152bb99a
hex204568

2114920 has 32 divisors (see below), whose sum is σ = 4890600. Its totient is φ = 822528.

The previous prime is 2114897. The next prime is 2114933. The reversal of 2114920 is 294112.

It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 481636 = 1278^2 + 694^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 766 + ... + 2194.

22114920 is an apocalyptic number.

2114920 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 2114920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445300).

2114920 is an abundant number, since it is smaller than the sum of its proper divisors (2775680).

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

2114920 is a wasteful number, since it uses less digits than its factorization.

2114920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2114920 is about 1454.2764523982. The cubic root of 2114920 is about 128.3604747602.

It can be divided in two parts, 21 and 14920, that added together give a palindrome (14941).

The spelling of 2114920 in words is "two million, one hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1429 1480 2858 5716 7145 11432 14290 28580 52873 57160 105746 211492 264365 422984 528730 1057460 2114920