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13033472 = 2133743
BaseRepresentation
bin110001101110…
…000000000000
3220112011120012
4301232000000
511314032342
61143204052
7215532314
oct61560000
926464505
1013033472
1173a2271
124446628
13291451a
141a33b44
151226b82
hexc6e000

13033472 has 56 divisors (see below), whose sum is σ = 27392376. Its totient is φ = 6193152.

The previous prime is 13033469. The next prime is 13033481. The reversal of 13033472 is 27433031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303083 + ... + 303125.

Almost surely, 213033472 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 13033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696188).

13033472 is an abundant number, since it is smaller than the sum of its proper divisors (14358904).

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

13033472 is an frugal number, since it uses more digits than its factorization.

13033472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 13033472 is about 3610.1900226996. The cubic root of 13033472 is about 235.3351006260.

The spelling of 13033472 in words is "thirteen million, thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 256 296 344 512 592 688 1024 1184 1376 1591 2048 2368 2752 3182 4096 4736 5504 6364 8192 9472 11008 12728 18944 22016 25456 37888 44032 50912 75776 88064 101824 151552 176128 203648 303104 352256 407296 814592 1629184 3258368 6516736 13033472