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2132676 = 2233721331
BaseRepresentation
bin1000001000101011000100
311000100111000
420020223010
51021221201
6113413300
724061500
oct10105304
94010430
102132676
111227347
1286a230
13598950
143d7300
152c1d86
hex208ac4

2132676 has 144 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 544320.

The previous prime is 2132659. The next prime is 2132699. The reversal of 2132676 is 6762312.

It is a happy number.

2132676 is nontrivially palindromic in base 5.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3024) is a multiple of the sum of its prime divisors (56).

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 47 ways as a sum of consecutive naturals, for example, 68781 + ... + 68811.

22132676 is an apocalyptic number.

2132676 is a gapful number since it is divisible by the number (26) 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 2132676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).

2132676 is an abundant number, since it is smaller than the sum of its proper divisors (5017404).

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

2132676 is a wasteful number, since it uses less digits than its factorization.

2132676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2132676 is about 1460.3684466600. The cubic root of 2132676 is about 128.7186947485.

Adding to 2132676 its reverse (6762312), we get a palindrome (8894988).

The spelling of 2132676 in words is "two million, one hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 49 52 54 62 63 78 84 91 93 98 108 117 124 126 147 156 182 186 189 196 217 234 252 273 279 294 351 364 372 378 403 434 441 468 546 558 588 637 651 702 756 806 819 837 868 882 1092 1116 1209 1274 1302 1323 1404 1519 1612 1638 1674 1764 1911 1953 2418 2457 2548 2604 2646 2821 3038 3276 3348 3627 3822 3906 4557 4836 4914 5292 5642 5733 5859 6076 7254 7644 7812 8463 9114 9828 10881 11284 11466 11718 13671 14508 16926 17199 18228 19747 21762 22932 23436 25389 27342 33852 34398 39494 41013 43524 50778 54684 59241 68796 76167 78988 82026 101556 118482 152334 164052 177723 236964 304668 355446 533169 710892 1066338 2132676