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13321880 = 235111317137
BaseRepresentation
bin110010110100…
…011010011000
3221001211011222
4302310122120
511402300010
61153311212
7221143205
oct62643230
927054158
1013321880
117579a20
124565508
1329b5890
141aaacac
151282355
hexcb4698

13321880 has 128 divisors (see below), whose sum is σ = 37558080. Its totient is φ = 4177920.

The previous prime is 13321879. The next prime is 13321927. The reversal of 13321880 is 8812331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97172 + ... + 97308.

Almost surely, 213321880 is an apocalyptic number.

13321880 is a gapful number since it is divisible by the number (10) 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 13321880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779040).

13321880 is an abundant number, since it is smaller than the sum of its proper divisors (24236200).

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

13321880 is a wasteful number, since it uses less digits than its factorization.

13321880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 13321880 is about 3649.9150675050. The cubic root of 13321880 is about 237.0583037078.

The spelling of 13321880 in words is "thirteen million, three hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 137 143 170 187 220 221 260 274 286 340 374 440 442 520 548 572 680 685 715 748 884 935 1096 1105 1144 1370 1430 1496 1507 1768 1781 1870 2210 2329 2431 2740 2860 3014 3562 3740 4420 4658 4862 5480 5720 6028 7124 7480 7535 8840 8905 9316 9724 11645 12056 12155 14248 15070 17810 18632 19448 19591 23290 24310 25619 30140 30277 35620 39182 46580 48620 51238 60280 60554 71240 78364 93160 97240 97955 102476 121108 128095 151385 156728 195910 204952 242216 256190 302770 333047 391820 512380 605540 666094 783640 1024760 1211080 1332188 1665235 2664376 3330470 6660940 13321880