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13424088 = 2332383293
BaseRepresentation
bin110011001101…
…010111011000
3221021000101110
4303031113120
511414032323
61155420320
7222050166
oct63152730
927230343
1013424088
117639797
1245b46a0
132a20262
141ad6236
1512a2793
hexccd5d8

13424088 has 64 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4214144.

The previous prime is 13424083. The next prime is 13424107. The reversal of 13424088 is 88042431.

It is a super-2 number, since 2×134240882 = 360412277263488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45670 + ... + 45962.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 213424088 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 13424088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

13424088 is an abundant number, since it is smaller than the sum of its proper divisors (22138152).

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

13424088 is a wasteful number, since it uses less digits than its factorization.

13424088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13424088 is about 3663.8897363321. The cubic root of 13424088 is about 237.6630120035.

The spelling of 13424088 in words is "thirteen million, four hundred twenty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 293 332 498 552 586 664 879 996 1172 1758 1909 1992 2344 3516 3818 5727 6739 7032 7636 11454 13478 15272 20217 22908 24319 26956 40434 45816 48638 53912 72957 80868 97276 145914 161736 194552 291828 559337 583656 1118674 1678011 2237348 3356022 4474696 6712044 13424088