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2097414 = 234112107
BaseRepresentation
bin1000000000000100000110
310221120010000
420000010012
51014104124
6112542130
723553624
oct10000406
93846100
102097414
111202900
12851946
13585897
143c8514
152b66c9
hex200106

2097414 has 60 divisors (see below), whose sum is σ = 5214132. Its totient is φ = 629640.

The previous prime is 2097401. The next prime is 2097421. The reversal of 2097414 is 4147902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19549 + ... + 19655.

22097414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607066).

2097414 is an abundant number, since it is smaller than the sum of its proper divisors (3116718).

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

2097414 is a wasteful number, since it uses less digits than its factorization.

2097414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2097414 is about 1448.2451449945. The cubic root of 2097414 is about 128.0053301817.

The spelling of 2097414 in words is "two million, ninety-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 121 162 198 214 242 297 321 363 594 642 726 891 963 1089 1177 1782 1926 2178 2354 2889 3267 3531 5778 6534 7062 8667 9801 10593 12947 17334 19602 21186 25894 31779 38841 63558 77682 95337 116523 190674 233046 349569 699138 1048707 2097414