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12064332 = 22373141113
BaseRepresentation
bin101110000001…
…011001001100
3211200221011010
4232001121030
511042024312
61110325220
7204354660
oct56013114
924627133
1012064332
1168a0125
124059810
132665377
1418608a0
1510d493c
hexb8164c

12064332 has 96 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 3225600.

The previous prime is 12064321. The next prime is 12064387. The reversal of 12064332 is 23346021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12064299 and 12064308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106708 + ... + 106820.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 212064332 is an apocalyptic number.

12064332 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 12064332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

12064332 is an abundant number, since it is smaller than the sum of its proper divisors (22256052).

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

12064332 is a wasteful number, since it uses less digits than its factorization.

12064332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12064332 is about 3473.3747278403. The cubic root of 12064332 is about 229.3512404517.

The spelling of 12064332 in words is "twelve million, sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 113 123 124 164 186 217 226 246 287 339 372 434 452 492 574 651 678 791 861 868 1148 1271 1302 1356 1582 1722 2373 2542 2604 3164 3444 3503 3813 4633 4746 5084 7006 7626 8897 9266 9492 10509 13899 14012 15252 17794 18532 21018 24521 26691 27798 32431 35588 42036 49042 53382 55596 64862 73563 97293 98084 106764 129724 143623 147126 194586 287246 294252 389172 430869 574492 861738 1005361 1723476 2010722 3016083 4021444 6032166 12064332