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13362048 = 273271657
BaseRepresentation
bin110010111110…
…001110000000
3221010212021200
4302332032000
511410041143
61154221200
7221401260
oct62761600
927125250
1013362048
1175a7117
124584800
1329cac4b
141abb7a0
15128e1d3
hexcbe380

13362048 has 96 divisors (see below), whose sum is σ = 43970160. Its totient is φ = 3815424.

The previous prime is 13362047. The next prime is 13362049. The reversal of 13362048 is 84026331.

It is a happy number.

13362048 is a `hidden beast` number, since 1 + 33 + 620 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13362047) and next prime (13362049).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362043) 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 11 ways as a sum of consecutive naturals, for example, 7236 + ... + 8892.

Almost surely, 213362048 is an apocalyptic number.

13362048 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 13362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21985080).

13362048 is an abundant number, since it is smaller than the sum of its proper divisors (30608112).

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

13362048 is a wasteful number, since it uses less digits than its factorization.

13362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13362048 is about 3655.4135196992. The cubic root of 13362048 is about 237.2963232558.

Adding to 13362048 its reverse (84026331), we get a palindrome (97388379).

The spelling of 13362048 in words is "thirteen million, three hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 1657 2016 2688 3314 4032 4971 6628 8064 9942 11599 13256 14913 19884 23198 26512 29826 34797 39768 46396 53024 59652 69594 79536 92792 104391 106048 119304 139188 159072 185584 208782 212096 238608 278376 318144 371168 417564 477216 556752 636288 742336 835128 954432 1113504 1484672 1670256 1908864 2227008 3340512 4454016 6681024 13362048