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2134176 = 253114347
BaseRepresentation
bin1000001001000010100000
311000102112120
420021002200
51021243201
6113424240
724066042
oct10110240
94012476
102134176
111228490
1286b080
13599535
143d7a92
152c2536
hex2090a0

2134176 has 96 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 618240.

The previous prime is 2134157. The next prime is 2134183. The reversal of 2134176 is 6714312.

2134176 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45385 + ... + 45431.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

22134176 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 2134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2134176 is an abundant number, since it is smaller than the sum of its proper divisors (4252512).

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

2134176 is a wasteful number, since it uses less digits than its factorization.

2134176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 2134176 is about 1460.8819254135. The cubic root of 2134176 is about 128.7488654187.

Adding to 2134176 its reverse (6714312), we get a palindrome (8848488).

The spelling of 2134176 in words is "two million, one hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 47 48 66 86 88 94 96 129 132 141 172 176 188 258 264 282 344 352 376 473 516 517 528 564 688 752 946 1032 1034 1056 1128 1376 1419 1504 1551 1892 2021 2064 2068 2256 2838 3102 3784 4042 4128 4136 4512 5676 6063 6204 7568 8084 8272 11352 12126 12408 15136 16168 16544 22231 22704 24252 24816 32336 44462 45408 48504 49632 64672 66693 88924 97008 133386 177848 194016 266772 355696 533544 711392 1067088 2134176