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23420670 = 23571323373
BaseRepresentation
bin101100101010…
…1111011111110
31122001220010020
41121111323332
521443430140
62153553010
7403033560
oct131257376
948056106
1023420670
1112247329
127a15766
134b103b0
143179330
1520c96d0
hex1655efe

23420670 has 128 divisors (see below), whose sum is σ = 72382464. Its totient is φ = 4713984.

The previous prime is 23420669. The next prime is 23420671. The reversal of 23420670 is 7602432.

It is an interprime number because it is at equal distance from previous prime (23420669) and next prime (23420671).

It is a self number, because there is not a number n which added to its sum of digits gives 23420670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23420671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62604 + ... + 62976.

It is an arithmetic number, because the mean of its divisors is an integer number (565488).

Almost surely, 223420670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23420670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36191232).

23420670 is an abundant number, since it is smaller than the sum of its proper divisors (48961794).

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

23420670 is a wasteful number, since it uses less digits than its factorization.

23420670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 23420670 is about 4839.4906756807. The cubic root of 23420670 is about 286.1100445354.

It can be divided in two parts, 23420 and 670, that added together give a triangular number (24090 = T219).

The spelling of 23420670 in words is "twenty-three million, four hundred twenty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 69 70 78 91 105 115 130 138 161 182 195 210 230 273 299 322 345 373 390 455 483 546 598 690 746 805 897 910 966 1119 1365 1495 1610 1794 1865 2093 2238 2415 2611 2730 2990 3730 4186 4485 4830 4849 5222 5595 6279 7833 8579 8970 9698 10465 11190 12558 13055 14547 15666 17158 20930 24245 25737 26110 29094 31395 33943 39165 42895 48490 51474 60053 62790 67886 72735 78330 85790 101829 111527 120106 128685 145470 169715 180159 203658 223054 257370 300265 334581 339430 360318 509145 557635 600530 669162 780689 900795 1018290 1115270 1561378 1672905 1801590 2342067 3345810 3903445 4684134 7806890 11710335 23420670