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12083632 = 241171967
BaseRepresentation
bin101110000110…
…000110110000
3211201220121221
4232012012300
511043134012
61110554424
7204465151
oct56060660
924656557
1012083632
116903680
124068a14
1326710a2
141867928
1510da507
hexb861b0

12083632 has 40 divisors (see below), whose sum is σ = 25926912. Its totient is φ = 5409600.

The previous prime is 12083623. The next prime is 12083641. The reversal of 12083632 is 23638021.

It is an interprime number because it is at equal distance from previous prime (12083623) and next prime (12083641).

It is a super-2 number, since 2×120836322 = 292028324622848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12083597 and 12083606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12013 + ... + 12979.

Almost surely, 212083632 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 12083632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456).

12083632 is an abundant number, since it is smaller than the sum of its proper divisors (13843280).

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

12083632 is a wasteful number, since it uses less digits than its factorization.

12083632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 12083632 is about 3476.1518954154. The cubic root of 12083632 is about 229.4734773786.

The spelling of 12083632 in words is "twelve million, eighty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 967 1136 1562 1934 3124 3868 6248 7736 10637 12496 15472 21274 42548 68657 85096 137314 170192 274628 549256 755227 1098512 1510454 3020908 6041816 12083632