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23533020 = 22325719983
BaseRepresentation
bin101100111000…
…1010111011100
31122021121020100
41121301113130
522011024040
62200221100
7404012250
oct131612734
948247210
1023533020
1112313785
127a6a790
134b4c584
1431a8260
1520ecb30
hex16715dc

23533020 has 144 divisors (see below), whose sum is σ = 85962240. Its totient is φ = 5090688.

The previous prime is 23533009. The next prime is 23533043. The reversal of 23533020 is 2033532.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 23532984 and 23533002.

It is a congruent number.

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, 23449 + ... + 24431.

It is an arithmetic number, because the mean of its divisors is an integer number (596960).

Almost surely, 223533020 is an apocalyptic number.

23533020 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 23533020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981120).

23533020 is an abundant number, since it is smaller than the sum of its proper divisors (62429220).

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

23533020 is a wasteful number, since it uses less digits than its factorization.

23533020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 23533020 is about 4851.0844148499. The cubic root of 23533020 is about 286.5668091593.

Adding to 23533020 its reverse (2033532), we get a palindrome (25566552).

The spelling of 23533020 in words is "twenty-three million, five hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 983 1140 1197 1260 1330 1596 1710 1966 1995 2394 2660 2949 3420 3932 3990 4788 4915 5898 5985 6881 7980 8847 9830 11796 11970 13762 14745 17694 18677 19660 20643 23940 27524 29490 34405 35388 37354 41286 44235 56031 58980 61929 68810 74708 82572 88470 93385 103215 112062 123858 130739 137620 168093 176940 186770 206430 224124 247716 261478 280155 309645 336186 373540 392217 412860 522956 560310 619290 653695 672372 784434 840465 1120620 1176651 1238580 1307390 1568868 1680930 1961085 2353302 2614780 3361860 3922170 4706604 5883255 7844340 11766510 23533020