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2672670 = 2357111389
BaseRepresentation
bin1010001100100000011110
312000210012210
422030200132
51141011140
6133141250
731501020
oct12144036
95023183
102672670
111566020
12a8a826
13727680
144d8010
1537bd80
hex28c81e

2672670 has 128 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 506880.

The previous prime is 2672639. The next prime is 2672671. The reversal of 2672670 is 762762.

2672670 is a nontrivial binomial coefficient, being equal to C(91, 4).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672671) 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, 29986 + ... + 30074.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22672670 is an apocalyptic number.

2672670 is the 1335-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2672670 is an abundant number, since it is smaller than the sum of its proper divisors (6036450).

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

2672670 is a wasteful number, since it uses less digits than its factorization.

2672670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2672670 is about 1634.8302664191. The cubic root of 2672670 is about 138.7762388491.

It can be divided in two parts, 26726 and 70, that added together give a triangular number (26796 = T231).

The spelling of 2672670 in words is "two million, six hundred seventy-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 89 91 105 110 130 143 154 165 178 182 195 210 231 267 273 286 330 385 390 429 445 455 462 534 546 623 715 770 858 890 910 979 1001 1155 1157 1246 1335 1365 1430 1869 1958 2002 2145 2310 2314 2670 2730 2937 3003 3115 3471 3738 4290 4895 5005 5785 5874 6006 6230 6853 6942 8099 9345 9790 10010 11570 12727 13706 14685 15015 16198 17355 18690 20559 24297 25454 29370 30030 34265 34710 38181 40495 41118 48594 63635 68530 76362 80990 89089 102795 121485 127270 178178 190905 205590 242970 267267 381810 445445 534534 890890 1336335 2672670