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23381120 = 275717307
BaseRepresentation
bin101100100110…
…0010010000000
31121222212212102
41121030102000
521441143440
62153045532
7402510350
oct131142200
947885772
1023381120
111221a644
1279b68a8
134ac83a9
143168b60
1520bcb15
hex164c480

23381120 has 128 divisors (see below), whose sum is σ = 67858560. Its totient is φ = 7520256.

The previous prime is 23381119. The next prime is 23381147. The reversal of 23381120 is 2118332.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 23381092 and 23381101.

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, 76007 + ... + 76313.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 223381120 is an apocalyptic number.

23381120 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 23381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929280).

23381120 is an abundant number, since it is smaller than the sum of its proper divisors (44477440).

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

23381120 is a wasteful number, since it uses less digits than its factorization.

23381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 23381120 is about 4835.4027753642. The cubic root of 23381120 is about 285.9489044293.

Adding to 23381120 its reverse (2118332), we get a palindrome (25499452).

The spelling of 23381120 in words is "twenty-three million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 307 320 340 448 476 544 560 595 614 640 680 896 952 1088 1120 1190 1228 1360 1535 1904 2149 2176 2240 2380 2456 2720 3070 3808 4298 4480 4760 4912 5219 5440 6140 7616 8596 9520 9824 10438 10745 10880 12280 15232 17192 19040 19648 20876 21490 24560 26095 34384 36533 38080 39296 41752 42980 49120 52190 68768 73066 76160 83504 85960 98240 104380 137536 146132 167008 171920 182665 196480 208760 275072 292264 334016 343840 365330 417520 584528 668032 687680 730660 835040 1169056 1375360 1461320 1670080 2338112 2922640 3340160 4676224 5845280 11690560 23381120