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23080960 = 21257223
BaseRepresentation
bin101100000001…
…1000000000000
31121102122010101
41120003000000
521402042320
62142412144
7400120300
oct130030000
947378111
1023080960
1112035081
127891054
134a21896
1430cb600
15205dc0a
hex1603000

23080960 has 156 divisors (see below), whose sum is σ = 67231728. Its totient is φ = 7569408.

The previous prime is 23080949. The next prime is 23080973. The reversal of 23080960 is 6908032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003509 + ... + 1003531.

Almost surely, 223080960 is an apocalyptic number.

23080960 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 23080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33615864).

23080960 is an abundant number, since it is smaller than the sum of its proper divisors (44150768).

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

23080960 is an equidigital number, since it uses as much as digits as its factorization.

23080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 23080960 is about 4804.2647720541. The cubic root of 23080960 is about 284.7199876230.

Adding to 23080960 its reverse (6908032), we get a palindrome (29988992).

The spelling of 23080960 in words is "twenty-three million, eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 64 70 80 92 98 112 115 128 140 160 161 184 196 224 230 245 256 280 320 322 368 392 448 460 490 512 560 640 644 736 784 805 896 920 980 1024 1120 1127 1280 1288 1472 1568 1610 1792 1840 1960 2048 2240 2254 2560 2576 2944 3136 3220 3584 3680 3920 4096 4480 4508 5120 5152 5635 5888 6272 6440 7168 7360 7840 8960 9016 10240 10304 11270 11776 12544 12880 14336 14720 15680 17920 18032 20480 20608 22540 23552 25088 25760 28672 29440 31360 35840 36064 41216 45080 47104 50176 51520 58880 62720 71680 72128 82432 90160 94208 100352 103040 117760 125440 143360 144256 164864 180320 200704 206080 235520 250880 288512 329728 360640 412160 471040 501760 577024 659456 721280 824320 1003520 1154048 1442560 1648640 2308096 2885120 3297280 4616192 5770240 11540480 23080960