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12061632 = 263115711
BaseRepresentation
bin101110000000…
…101111000000
3211200210110010
4232000233000
511041433012
61110304520
7204344052
oct56005700
924623403
1012061632
1168990a0
124058140
13266407b
14185d8d2
1510d3c3c
hexb80bc0

12061632 has 56 divisors (see below), whose sum is σ = 34820352. Its totient is φ = 3654400.

The previous prime is 12061627. The next prime is 12061633. The reversal of 12061632 is 23616021.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12061599 and 12061608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12061633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (621792).

Almost surely, 212061632 is an apocalyptic number.

12061632 is a gapful number since it is divisible by the number (12) 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 12061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410176).

12061632 is an abundant number, since it is smaller than the sum of its proper divisors (22758720).

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

12061632 is a wasteful number, since it uses less digits than its factorization.

12061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12061632 is about 3472.9860351001. The cubic root of 12061632 is about 229.3341295568.

Adding to 12061632 its reverse (23616021), we get a palindrome (35677653).

The spelling of 12061632 in words is "twelve million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5711 11422 17133 22844 34266 45688 62821 68532 91376 125642 137064 182752 188463 251284 274128 365504 376926 502568 548256 753852 1005136 1096512 1507704 2010272 3015408 4020544 6030816 12061632