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2678130 = 2335713109
BaseRepresentation
bin1010001101110101110010
312001001201000
422031311302
51141200010
6133222430
731522650
oct12156562
95031630
102678130
11156a134
12a91a16
13729cc0
144d9dd0
1537d7c0
hex28dd72

2678130 has 128 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 559872.

The previous prime is 2678119. The next prime is 2678131. The reversal of 2678130 is 318762.

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

It is a junction number, because it is equal to n+sod(n) for n = 2678094 and 2678103.

It is not an unprimeable number, because it can be changed into a prime (2678131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24516 + ... + 24624.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

22678130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2678130 is an abundant number, since it is smaller than the sum of its proper divisors (6192270).

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

2678130 is a wasteful number, since it uses less digits than its factorization.

2678130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2678130 is about 1636.4993125571. The cubic root of 2678130 is about 138.8706766045.

The spelling of 2678130 in words is "two million, six hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 109 117 126 130 135 182 189 195 210 218 234 270 273 315 327 351 378 390 455 545 546 585 630 654 702 763 819 910 945 981 1090 1170 1365 1417 1526 1635 1638 1755 1890 1962 2289 2457 2730 2834 2943 3270 3510 3815 4095 4251 4578 4905 4914 5886 6867 7085 7630 8190 8502 9810 9919 11445 12285 12753 13734 14170 14715 19838 20601 21255 22890 24570 25506 29430 29757 34335 38259 41202 42510 49595 59514 63765 68670 76518 89271 99190 103005 127530 148785 178542 191295 206010 267813 297570 382590 446355 535626 892710 1339065 2678130