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13350672 = 24322329139
BaseRepresentation
bin110010111011…
…011100010000
3221010021200100
4302323130100
511404210142
61154052400
7221323146
oct62733420
927107610
1013350672
117599615
12457a100
1329c5a0a
141ab7596
15128ab4c
hexcbb710

13350672 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4080384.

The previous prime is 13350671. The next prime is 13350703. The reversal of 13350672 is 27605331.

It is a happy number.

13350672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95979 + ... + 96117.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 213350672 is an apocalyptic number.

13350672 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 13350672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13350672 is an abundant number, since it is smaller than the sum of its proper divisors (27271728).

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

13350672 is a wasteful number, since it uses less digits than its factorization.

13350672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13350672 is about 3653.8571400645. The cubic root of 13350672 is about 237.2289620894.

It can be divided in two parts, 133 and 50672, that multiplied together give a palindrome (6739376).

The spelling of 13350672 in words is "thirteen million, three hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 139 144 174 184 207 232 261 276 278 348 368 414 417 464 522 552 556 667 696 828 834 1044 1104 1112 1251 1334 1392 1656 1668 2001 2088 2224 2502 2668 3197 3312 3336 4002 4031 4176 5004 5336 6003 6394 6672 8004 8062 9591 10008 10672 12006 12093 12788 16008 16124 19182 20016 24012 24186 25576 28773 32016 32248 36279 38364 48024 48372 51152 57546 64496 72558 76728 92713 96048 96744 115092 145116 153456 185426 193488 230184 278139 290232 370852 460368 556278 580464 741704 834417 1112556 1483408 1668834 2225112 3337668 4450224 6675336 13350672