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12055032 = 23321131491
BaseRepresentation
bin101101111111…
…000111111000
3211200110101200
4231333013320
511041230112
61110214200
7204315603
oct55770770
924613350
1012055032
116894140
124054360
132661072
14185b33a
1510d1cdc
hexb7f1f8

12055032 has 96 divisors (see below), whose sum is σ = 36840960. Its totient is φ = 3528000.

The previous prime is 12055031. The next prime is 12055037. The reversal of 12055032 is 23055021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12054996 and 12055014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12055031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24307 + ... + 24797.

It is an arithmetic number, because the mean of its divisors is an integer number (383760).

Almost surely, 212055032 is an apocalyptic number.

12055032 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 12055032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420480).

12055032 is an abundant number, since it is smaller than the sum of its proper divisors (24785928).

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

12055032 is a wasteful number, since it uses less digits than its factorization.

12055032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 12055032 is about 3472.0357141020. The cubic root of 12055032 is about 229.2922921720.

The spelling of 12055032 in words is "twelve million, fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 491 558 682 744 792 982 1023 1116 1364 1473 1964 2046 2232 2728 2946 3069 3928 4092 4419 5401 5892 6138 8184 8838 10802 11784 12276 15221 16203 17676 21604 24552 30442 32406 35352 43208 45663 48609 60884 64812 91326 97218 121768 129624 136989 167431 182652 194436 273978 334862 365304 388872 502293 547956 669724 1004586 1095912 1339448 1506879 2009172 3013758 4018344 6027516 12055032