Search a number
-
+
2678904 = 2332291283
BaseRepresentation
bin1010001110000001111000
312001002202200
422032001320
51141211104
6133230200
731525134
oct12160170
95032680
102678904
11156a778
12a92360
1372a467
144da3c4
1537db39
hex28e078

2678904 has 48 divisors (see below), whose sum is σ = 7511400. Its totient is φ = 861504.

The previous prime is 2678903. The next prime is 2678909. The reversal of 2678904 is 4098762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 221 + 67 + 73 + 85 + 94 + 0 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1447 + ... + 2729.

22678904 is an apocalyptic number.

2678904 is a gapful number since it is divisible by the number (24) 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 2678904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755700).

2678904 is an abundant number, since it is smaller than the sum of its proper divisors (4832496).

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

2678904 is a wasteful number, since it uses less digits than its factorization.

2678904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2678904 is about 1636.7357758661. The cubic root of 2678904 is about 138.8840535443.

The spelling of 2678904 in words is "two million, six hundred seventy-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1283 2088 2566 3849 5132 7698 10264 11547 15396 23094 30792 37207 46188 74414 92376 111621 148828 223242 297656 334863 446484 669726 892968 1339452 2678904