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13492224 = 2133361
BaseRepresentation
bin110011011110…
…000000000000
3221101110212000
4303132000000
511423222344
61201104000
7222452634
oct63360000
927343760
1013492224
1176859a9
124628000
132a45285
141b12dc4
1512b7a69
hexcde000

13492224 has 112 divisors (see below), whose sum is σ = 40629840. Its totient is φ = 4423680.

The previous prime is 13492217. The next prime is 13492229. The reversal of 13492224 is 42229431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3456) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13492229) 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, 221154 + ... + 221214.

Almost surely, 213492224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13492224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314920).

13492224 is an abundant number, since it is smaller than the sum of its proper divisors (27137616).

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

13492224 is an frugal number, since it uses more digits than its factorization.

13492224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13492224 is about 3673.1762821841. The cubic root of 13492224 is about 238.0644318644.

The spelling of 13492224 in words is "thirteen million, four hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 512 549 576 732 768 864 976 1024 1098 1152 1464 1536 1647 1728 1952 2048 2196 2304 2928 3072 3294 3456 3904 4096 4392 4608 5856 6144 6588 6912 7808 8192 8784 9216 11712 12288 13176 13824 15616 17568 18432 23424 24576 26352 27648 31232 35136 36864 46848 52704 55296 62464 70272 73728 93696 105408 110592 124928 140544 187392 210816 221184 249856 281088 374784 421632 499712 562176 749568 843264 1124352 1499136 1686528 2248704 3373056 4497408 6746112 13492224