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23838920 = 2357194481
BaseRepresentation
bin101101011110…
…0000011001000
31122212010211222
41122330003020
522100321140
62210541212
7406425140
oct132740310
948763758
1023838920
1112502596
127b97808
134c28891
143247920
15215d5b5
hex16bc0c8

23838920 has 64 divisors (see below), whose sum is σ = 64540800. Its totient is φ = 7741440.

The previous prime is 23838887. The next prime is 23838931. The reversal of 23838920 is 2983832.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080 + ... + 7560.

It is an arithmetic number, because the mean of its divisors is an integer number (1008450).

Almost surely, 223838920 is an apocalyptic number.

23838920 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 23838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32270400).

23838920 is an abundant number, since it is smaller than the sum of its proper divisors (40701880).

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

23838920 is a wasteful number, since it uses less digits than its factorization.

23838920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 23838920 is about 4882.5116487316. The cubic root of 23838920 is about 287.8031383573.

The spelling of 23838920 in words is "twenty-three million, eight hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 4481 5320 8962 17924 22405 31367 35848 44810 62734 85139 89620 125468 156835 170278 179240 250936 313670 340556 425695 595973 627340 681112 851390 1191946 1254680 1702780 2383892 2979865 3405560 4767784 5959730 11919460 23838920