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2126454 = 2311229101
BaseRepresentation
bin1000000111001001110110
311000000221120
420013021312
51021021304
6113324410
724034401
oct10071166
94000846
102126454
111222700
12866706
13595b75
143d4d38
152c00d9
hex207276

2126454 has 48 divisors (see below), whose sum is σ = 4883760. Its totient is φ = 616000.

The previous prime is 2126447. The next prime is 2126459. The reversal of 2126454 is 4546212.

It is a super-2 number, since 2×21264542 = 9043613228232, which contains 22 as substring.

It is a d-powerful number, because it can be written as 215 + 1 + 217 + 64 + 46 + 59 + 46 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21004 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

22126454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441880).

2126454 is an abundant number, since it is smaller than the sum of its proper divisors (2757306).

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

2126454 is a wasteful number, since it uses less digits than its factorization.

2126454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2126454 is about 1458.2366063160. The cubic root of 2126454 is about 128.5933955412.

It can be divided in two parts, 212 and 6454, that added together give a palindrome (6666).

The spelling of 2126454 in words is "two million, one hundred twenty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 121 174 202 242 303 319 363 606 638 726 957 1111 1914 2222 2929 3333 3509 5858 6666 7018 8787 10527 12221 17574 21054 24442 32219 36663 64438 73326 96657 193314 354409 708818 1063227 2126454