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12042632 = 237231991
BaseRepresentation
bin101101111100…
…000110001000
3211122211101102
4231330012020
511040331012
61110040532
7204234500
oct55740610
924584342
1012042632
116885898
124049148
132658524
141856a00
1510cd2c2
hexb7c188

12042632 has 48 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 4989600.

The previous prime is 12042619. The next prime is 12042659. The reversal of 12042632 is 23624021.

It is a congruent number.

It is an unprimeable number.

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, 11657 + ... + 12647.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 212042632 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 12042632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

12042632 is an abundant number, since it is smaller than the sum of its proper divisors (15098488).

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

12042632 is a wasteful number, since it uses less digits than its factorization.

12042632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12042632 is about 3470.2495587493. The cubic root of 12042632 is about 229.2136472863.

Adding to 12042632 its reverse (23624021), we get a palindrome (35666653).

The spelling of 12042632 in words is "twelve million, forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 991 1519 1736 1982 3038 3964 6076 6937 7928 12152 13874 27748 30721 48559 55496 61442 97118 122884 194236 215047 245768 388472 430094 860188 1505329 1720376 3010658 6021316 12042632