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13950468 = 223476151
BaseRepresentation
bin110101001101…
…111000000100
3222020202110000
4311031320010
512032403333
61215001300
7226401630
oct65157004
928222400
1013950468
117969214
124809230
132b75a1c
141bd1dc0
151358713
hexd4de04

13950468 has 60 divisors (see below), whose sum is σ = 41685952. Its totient is φ = 3985200.

The previous prime is 13950467. The next prime is 13950473. The reversal of 13950468 is 86405931.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13950463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 808 + ... + 5343.

Almost surely, 213950468 is an apocalyptic number.

13950468 is a gapful number since it is divisible by the number (18) 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 13950468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842976).

13950468 is an abundant number, since it is smaller than the sum of its proper divisors (27735484).

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

13950468 is a wasteful number, since it uses less digits than its factorization.

13950468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13950468 is about 3735.0325299788. The cubic root of 13950468 is about 240.7296544370.

The spelling of 13950468 in words is "thirteen million, nine hundred fifty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6151 12302 18453 24604 36906 43057 55359 73812 86114 110718 129171 166077 172228 221436 258342 332154 387513 498231 516684 664308 775026 996462 1162539 1550052 1992924 2325078 3487617 4650156 6975234 13950468