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13214928 = 2433183107
BaseRepresentation
bin110010011010…
…010011010000
3220212101110210
4302122103100
511340334203
61151124120
7220216326
oct62322320
926771423
1013214928
117506631
124513640
132978cac
141a7dd16
151260803
hexc9a4d0

13214928 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 4172160.

The previous prime is 13214921. The next prime is 13214947. The reversal of 13214928 is 82941231.

It is a super-3 number, since 3×132149283 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13214895 and 13214904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123451 + ... + 123557.

Almost surely, 213214928 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 13214928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

13214928 is an abundant number, since it is smaller than the sum of its proper divisors (22782768).

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

13214928 is a wasteful number, since it uses less digits than its factorization.

13214928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 13214928 is about 3635.2342427965. The cubic root of 13214928 is about 236.4222069662.

The spelling of 13214928 in words is "thirteen million, two hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 107 124 166 186 214 248 249 321 332 372 428 496 498 642 664 744 856 996 1284 1328 1488 1712 1992 2568 2573 3317 3984 5136 5146 6634 7719 8881 9951 10292 13268 15438 17762 19902 20584 26536 26643 30876 35524 39804 41168 53072 53286 61752 71048 79608 106572 123504 142096 159216 213144 275311 426288 550622 825933 1101244 1651866 2202488 3303732 4404976 6607464 13214928