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13463928 = 233383751
BaseRepresentation
bin110011010111…
…000101111000
3221100001001000
4303113011320
511421321203
61200325000
7222304302
oct63270570
927301030
1013463928
117666715
124613760
132a3542a
141b06972
1512ae4a3
hexcd7178

13463928 has 64 divisors (see below), whose sum is σ = 37900800. Its totient is φ = 4428000.

The previous prime is 13463921. The next prime is 13463929. The reversal of 13463928 is 82936431.

13463928 is a `hidden beast` number, since 13 + 4 + 639 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13463892 and 13463901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463921) 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, 17553 + ... + 18303.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 213463928 is an apocalyptic number.

13463928 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 13463928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18950400).

13463928 is an abundant number, since it is smaller than the sum of its proper divisors (24436872).

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

13463928 is a wasteful number, since it uses less digits than its factorization.

13463928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13463928 is about 3669.3225532787. The cubic root of 13463928 is about 237.8978918441.

The spelling of 13463928 in words is "thirteen million, four hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 751 996 1494 1502 1992 2241 2253 2988 3004 4482 4506 5976 6008 6759 8964 9012 13518 17928 18024 20277 27036 40554 54072 62333 81108 124666 162216 186999 249332 373998 498664 560997 747996 1121994 1495992 1682991 2243988 3365982 4487976 6731964 13463928