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13421772 = 223271317241
BaseRepresentation
bin110011001100…
…110011001100
3221020220012200
4303030303030
511413444042
61155401500
7222040350
oct63146314
927226180
1013421772
117637a81
1245b3290
132a1c1a0
141ad5460
1512a1c4c
hexcccccc

13421772 has 144 divisors (see below), whose sum is σ = 44396352. Its totient is φ = 3317760.

The previous prime is 13421767. The next prime is 13421783. The reversal of 13421772 is 27712431.

It is a happy number.

13421772 is nontrivially palindromic in base 16.

13421772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

13421772 is an undulating number in base 4.

13421772 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55572 + ... + 55812.

It is an arithmetic number, because the mean of its divisors is an integer number (308308).

Almost surely, 213421772 is an apocalyptic number.

13421772 is a gapful number since it is divisible by the number (12) 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 13421772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198176).

13421772 is an abundant number, since it is smaller than the sum of its proper divisors (30974580).

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

13421772 is a wasteful number, since it uses less digits than its factorization.

13421772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 13421772 is about 3663.5736651526. The cubic root of 13421772 is about 237.6493435593.

The spelling of 13421772 in words is "thirteen million, four hundred twenty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 241 252 273 306 357 364 442 468 476 482 546 612 663 714 723 819 884 964 1071 1092 1326 1428 1446 1547 1638 1687 1989 2142 2169 2652 2892 3094 3133 3276 3374 3978 4097 4284 4338 4641 5061 6188 6266 6748 7956 8194 8676 9282 9399 10122 12291 12532 13923 15183 16388 18564 18798 20244 21931 24582 27846 28197 28679 30366 36873 37596 43862 49164 53261 55692 56394 57358 60732 65793 73746 86037 87724 106522 112788 114716 131586 147492 159783 172074 197379 213044 258111 263172 319566 344148 372827 394758 479349 516222 639132 745654 789516 958698 1032444 1118481 1491308 1917396 2236962 3355443 4473924 6710886 13421772