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23135420 = 22571183181
BaseRepresentation
bin101100001000…
…0010010111100
31121112101211102
41120100102330
521410313140
62143512232
7400435130
oct130202274
947471742
1023135420
1112071a90
1278b8678
134a405c9
1431033c0
15206ee15
hex16104bc

23135420 has 96 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 7084800.

The previous prime is 23135389. The next prime is 23135443. The reversal of 23135420 is 2453132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23135392 and 23135401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127730 + ... + 127910.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 223135420 is an apocalyptic number.

23135420 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 23135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

23135420 is an abundant number, since it is smaller than the sum of its proper divisors (38505796).

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

23135420 is a wasteful number, since it uses less digits than its factorization.

23135420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23135420 is about 4809.9293134099. The cubic root of 23135420 is about 284.9437459506.

Adding to 23135420 its reverse (2453132), we get a palindrome (25588552).

The spelling of 23135420 in words is "twenty-three million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 83 110 140 154 166 181 220 308 332 362 385 415 581 724 770 830 905 913 1162 1267 1540 1660 1810 1826 1991 2324 2534 2905 3620 3652 3982 4565 5068 5810 6335 6391 7964 9130 9955 11620 12670 12782 13937 15023 18260 19910 25340 25564 27874 30046 31955 39820 55748 60092 63910 69685 75115 105161 127820 139370 150230 165253 210322 278740 300460 330506 420644 525805 661012 826265 1051610 1156771 1652530 2103220 2313542 3305060 4627084 5783855 11567710 23135420