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23846420 = 22513412237
BaseRepresentation
bin101101011110…
…1111000010100
31122212112010202
41122331320110
522101041140
62211040032
7406456043
oct132757024
948775122
1023846420
1112508194
127ba0018
134c2c110
14324a55a
152160915
hex16bde14

23846420 has 48 divisors (see below), whose sum is σ = 55269648. Its totient is φ = 8586240.

The previous prime is 23846419. The next prime is 23846441. The reversal of 23846420 is 2464832.

It can be written as a sum of positive squares in 8 ways, for example, as 3452164 + 20394256 = 1858^2 + 4516^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9542 + ... + 11778.

It is an arithmetic number, because the mean of its divisors is an integer number (1151451).

Almost surely, 223846420 is an apocalyptic number.

23846420 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 23846420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27634824).

23846420 is an abundant number, since it is smaller than the sum of its proper divisors (31423228).

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

23846420 is a wasteful number, since it uses less digits than its factorization.

23846420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 23846420 is about 4883.2796356547. The cubic root of 23846420 is about 287.8333172582.

The spelling of 23846420 in words is "twenty-three million, eight hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2237 2665 4474 5330 8948 10660 11185 22370 29081 44740 58162 91717 116324 145405 183434 290810 366868 458585 581620 917170 1192321 1834340 2384642 4769284 5961605 11923210 23846420