Search a number
-
+
2126670 = 2357131941
BaseRepresentation
bin1000000111001101001110
311000001020120
420013031032
51021023140
6113325410
724035130
oct10071516
94001216
102126670
111222887
12866866
13595cb0
143d5050
152c01d0
hex20734e

2126670 has 128 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 414720.

The previous prime is 2126659. The next prime is 2126681. The reversal of 2126670 is 766212.

2126670 = 152 + 162 + ... + 1852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2126659) and next prime (2126681).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2126670.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51850 + ... + 51890.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

22126670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2126670 is an abundant number, since it is smaller than the sum of its proper divisors (4647090).

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

2126670 is a wasteful number, since it uses less digits than its factorization.

2126670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2126670 is about 1458.3106664905. The cubic root of 2126670 is about 128.5977494614.

The spelling of 2126670 in words is "two million, one hundred twenty-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 41 42 57 65 70 78 82 91 95 105 114 123 130 133 182 190 195 205 210 246 247 266 273 285 287 390 399 410 455 494 533 546 570 574 615 665 741 779 798 861 910 1066 1230 1235 1330 1365 1435 1482 1558 1599 1722 1729 1995 2337 2470 2665 2730 2870 3198 3458 3705 3731 3895 3990 4305 4674 5187 5330 5453 7410 7462 7790 7995 8610 8645 10127 10374 10906 11193 11685 15990 16359 17290 18655 20254 22386 23370 25935 27265 30381 32718 37310 50635 51870 54530 55965 60762 70889 81795 101270 111930 141778 151905 163590 212667 303810 354445 425334 708890 1063335 2126670