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13436928 = 21138
BaseRepresentation
bin110011010000…
…100000000000
3221021200000000
4303100200000
511414440203
61200000000
7222132501
oct63204000
927250000
1013436928
1176483aa
124600000
132a2605b
141adaba8
1512a64a3
hexcd0800

13436928 has 108 divisors (see below), whose sum is σ = 40298895. Its totient is φ = 4478976.

The previous prime is 13436923. The next prime is 13436959. The reversal of 13436928 is 82963431.

13436928 divided by its sum of digits (36) gives a cube (373248 = 723).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)7 ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 6718464 = 2592^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=8, B=6.

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

It is a junction number, because it is equal to n+sod(n) for n = 13436892 and 13436901.

It is not an unprimeable number, because it can be changed into a prime (13436921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4478975 + 4478976 + 4478977.

Almost surely, 213436928 is an apocalyptic number.

13436928 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 13436928

13436928 is an abundant number, since it is smaller than the sum of its proper divisors (26861967).

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

13436928 is an frugal number, since it uses more digits than its factorization.

13436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 5 counting only the distinct ones).

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

The square root of 13436928 is about 3665.6415536711. The cubic root of 13436928 is about 237.7387619204.

The spelling of 13436928 in words is "thirteen million, four hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2916 3072 3456 3888 4374 4608 5184 5832 6144 6561 6912 7776 8748 9216 10368 11664 13122 13824 15552 17496 18432 20736 23328 26244 27648 31104 34992 41472 46656 52488 55296 62208 69984 82944 93312 104976 124416 139968 165888 186624 209952 248832 279936 373248 419904 497664 559872 746496 839808 1119744 1492992 1679616 2239488 3359232 4478976 6718464 13436928