Search a number
-
+
23898420 = 223257131459
BaseRepresentation
bin101101100101…
…0100100110100
31122222011110200
41123022210310
522104222140
62212120500
7410063460
oct133124464
948864420
1023898420
1112543267
128006130
134c499a0
1432614a0
152171030
hex16ca934

23898420 has 144 divisors (see below), whose sum is σ = 89281920. Its totient is φ = 5038848.

The previous prime is 23898401. The next prime is 23898421. The reversal of 23898420 is 2489832.

It is a super-2 number, since 2×238984202 = 1142268956992800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23898421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15651 + ... + 17109.

Almost surely, 223898420 is an apocalyptic number.

23898420 is a gapful number since it is divisible by the number (20) 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 23898420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640960).

23898420 is an abundant number, since it is smaller than the sum of its proper divisors (65383500).

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

23898420 is a wasteful number, since it uses less digits than its factorization.

23898420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23898420 is about 4888.6010268788. The cubic root of 23898420 is about 288.0423838085.

The spelling of 23898420 in words is "twenty-three million, eight hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1459 1638 1820 2340 2730 2918 3276 4095 4377 5460 5836 7295 8190 8754 10213 13131 14590 16380 17508 18967 20426 21885 26262 29180 30639 37934 40852 43770 51065 52524 56901 61278 65655 75868 87540 91917 94835 102130 113802 122556 131310 132769 153195 170703 183834 189670 204260 227604 262620 265538 284505 306390 341406 367668 379340 398307 459585 531076 569010 612780 663845 682812 796614 853515 919170 1138020 1194921 1327690 1593228 1707030 1838340 1991535 2389842 2655380 3414060 3983070 4779684 5974605 7966140 11949210 23898420