Search a number
-
+
23169840 = 2435293329
BaseRepresentation
bin101100001100…
…0101100110000
31121121011001020
41120120230300
521412413330
62144335440
7400640361
oct130305460
947534036
1023169840
1112095931
127914580
134a53185
143111b68
15207a210
hex1618b30

23169840 has 80 divisors (see below), whose sum is σ = 74325600. Its totient is φ = 5963776.

The previous prime is 23169829. The next prime is 23169841. The reversal of 23169840 is 4896132.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23169841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5296 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (929070).

Almost surely, 223169840 is an apocalyptic number.

23169840 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 23169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37162800).

23169840 is an abundant number, since it is smaller than the sum of its proper divisors (51155760).

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

23169840 is a wasteful number, since it uses less digits than its factorization.

23169840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 23169840 is about 4813.5059987498. The cubic root of 23169840 is about 285.0849854278.

The spelling of 23169840 in words is "twenty-three million, one hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3329 3480 6658 6960 9987 13316 16645 19974 26632 33290 39948 49935 53264 66580 79896 96541 99870 133160 159792 193082 199740 266320 289623 386164 399480 482705 579246 772328 798960 965410 1158492 1448115 1544656 1930820 2316984 2896230 3861640 4633968 5792460 7723280 11584920 23169840