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2678214 = 2371121731
BaseRepresentation
bin1010001101110111000110
312001001211010
422031313012
51141200324
6133223050
731523130
oct12156706
95031733
102678214
11156a200
12a91a86
1372a056
144da050
1537d829
hex28ddc6

2678214 has 96 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 633600.

The previous prime is 2678209. The next prime is 2678219. The reversal of 2678214 is 4128762.

It is an interprime number because it is at equal distance from previous prime (2678209) and next prime (2678219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86379 + ... + 86409.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

22678214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2678214 is an abundant number, since it is smaller than the sum of its proper divisors (4676154).

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

2678214 is a wasteful number, since it uses less digits than its factorization.

2678214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2678214 is about 1636.5249768946. The cubic root of 2678214 is about 138.8721284901.

It can be divided in two parts, 26782 and 14, that added together give a triangular number (26796 = T231).

The spelling of 2678214 in words is "two million, six hundred seventy-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 31 33 34 42 51 62 66 77 93 102 119 121 154 186 187 217 231 238 242 341 357 363 374 434 462 527 561 651 682 714 726 847 1023 1054 1122 1302 1309 1581 1694 2046 2057 2387 2541 2618 3162 3689 3751 3927 4114 4774 5082 5797 6171 7161 7378 7502 7854 11067 11253 11594 12342 14322 14399 17391 22134 22506 26257 28798 34782 40579 43197 52514 63767 78771 81158 86394 121737 127534 157542 191301 243474 382602 446369 892738 1339107 2678214