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23101440 = 2153547
BaseRepresentation
bin101100000100…
…0000000000000
31121110200012220
41120020000000
521403221230
62143051040
7400234065
oct130100000
947420186
1023101440
11120494aa
1278a0a80
134a2acbb
1430d4c6c
152064d10
hex1608000

23101440 has 128 divisors (see below), whose sum is σ = 75496320. Its totient is φ = 6029312.

The previous prime is 23101439. The next prime is 23101447. The reversal of 23101440 is 4410132.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (23101447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491497 + ... + 491543.

It is an arithmetic number, because the mean of its divisors is an integer number (589815).

Almost surely, 223101440 is an apocalyptic number.

23101440 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 23101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748160).

23101440 is an abundant number, since it is smaller than the sum of its proper divisors (52394880).

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

23101440 is an frugal number, since it uses more digits than its factorization.

23101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23101440 is about 4806.3957390128. The cubic root of 23101440 is about 284.8041744959.

Adding to 23101440 its reverse (4410132), we get a palindrome (27511572).

The spelling of 23101440 in words is "twenty-three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 512 564 640 705 752 768 940 960 1024 1128 1280 1410 1504 1536 1880 1920 2048 2256 2560 2820 3008 3072 3760 3840 4096 4512 5120 5640 6016 6144 7520 7680 8192 9024 10240 11280 12032 12288 15040 15360 16384 18048 20480 22560 24064 24576 30080 30720 32768 36096 40960 45120 48128 49152 60160 61440 72192 81920 90240 96256 98304 120320 122880 144384 163840 180480 192512 240640 245760 288768 360960 385024 481280 491520 577536 721920 770048 962560 1155072 1443840 1540096 1925120 2310144 2887680 3850240 4620288 5775360 7700480 11550720 23101440