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23520420 = 223257111697
BaseRepresentation
bin101100110111…
…0010010100100
31122020221221200
41121232102210
522010123140
62200042500
7403630440
oct131562244
948227850
1023520420
1112305270
127a63430
134b46911
1431a3820
1520e9030
hex166e4a4

23520420 has 144 divisors (see below), whose sum is σ = 89002368. Its totient is φ = 4884480.

The previous prime is 23520403. The next prime is 23520443. The reversal of 23520420 is 2402532.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23520393 and 23520402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13012 + ... + 14708.

It is an arithmetic number, because the mean of its divisors is an integer number (618072).

Almost surely, 223520420 is an apocalyptic number.

23520420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23520420 is the 3960-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23520420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44501184).

23520420 is an abundant number, since it is smaller than the sum of its proper divisors (65481948).

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

23520420 is a wasteful number, since it uses less digits than its factorization.

23520420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23520420 is about 4849.7855622697. The cubic root of 23520420 is about 286.5156556963.

Adding to 23520420 its reverse (2402532), we get a palindrome (25922952).

The spelling of 23520420 in words is "twenty-three million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1697 1980 2310 2772 3394 3465 4620 5091 6788 6930 8485 10182 11879 13860 15273 16970 18667 20364 23758 25455 30546 33940 35637 37334 47516 50910 56001 59395 61092 71274 74668 76365 93335 101820 106911 112002 118790 130669 142548 152730 168003 178185 186670 213822 224004 237580 261338 280005 305460 336006 356370 373340 392007 427644 522676 534555 560010 653345 672012 712740 784014 840015 1069110 1120020 1176021 1306690 1568028 1680030 1960035 2138220 2352042 2613380 3360060 3920070 4704084 5880105 7840140 11760210 23520420