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2114896 = 24723821
BaseRepresentation
bin1000000100010101010000
310222110002111
420010111100
51020134041
6113155104
723655610
oct10042520
93873074
102114896
111214a53
1285ba94
13590824
143d0a40
152bb981
hex204550

2114896 has 40 divisors (see below), whose sum is σ = 4892544. Its totient is φ = 865920.

The previous prime is 2114887. The next prime is 2114897. The reversal of 2114896 is 6984112.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2166 + ... + 2986.

22114896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446272).

2114896 is an abundant number, since it is smaller than the sum of its proper divisors (2777648).

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

2114896 is a wasteful number, since it uses less digits than its factorization.

2114896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 2114896 is about 1454.2682008488. The cubic root of 2114896 is about 128.3599892157.

The spelling of 2114896 in words is "two million, one hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 821 1288 1642 2576 3284 5747 6568 11494 13136 18883 22988 37766 45976 75532 91952 132181 151064 264362 302128 528724 1057448 2114896