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23789340 = 22325149887
BaseRepresentation
bin101101010111…
…1111100011100
31122202121211200
41122233330130
522042224330
62205515500
7406130451
oct132577434
948677750
1023789340
1112479313
127b72b90
134c0c143
143233828
15214da60
hex16aff1c

23789340 has 72 divisors (see below), whose sum is σ = 72727200. Its totient is φ = 6294144.

The previous prime is 23789333. The next prime is 23789371. The reversal of 23789340 is 4398732.

23789340 is a `hidden beast` number, since 237 + 89 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23789295 and 23789304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26377 + ... + 27263.

It is an arithmetic number, because the mean of its divisors is an integer number (1010100).

Almost surely, 223789340 is an apocalyptic number.

23789340 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 23789340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36363600).

23789340 is an abundant number, since it is smaller than the sum of its proper divisors (48937860).

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

23789340 is a wasteful number, since it uses less digits than its factorization.

23789340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 23789340 is about 4877.4317012133. The cubic root of 23789340 is about 287.6034763002.

The spelling of 23789340 in words is "twenty-three million, seven hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 887 894 1341 1490 1774 1788 2235 2661 2682 2980 3548 4435 4470 5322 5364 6705 7983 8870 8940 10644 13305 13410 15966 17740 26610 26820 31932 39915 53220 79830 132163 159660 264326 396489 528652 660815 792978 1189467 1321630 1585956 1982445 2378934 2643260 3964890 4757868 5947335 7929780 11894670 23789340