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12057096 = 23319137193
BaseRepresentation
bin101101111111…
…101000001000
3211200120020010
4231333220020
511041311341
61110231520
7204324612
oct55775010
924616203
1012057096
116895747
1240555a0
132661c9c
14185bdb2
1510d2716
hexb7fa08

12057096 has 64 divisors (see below), whose sum is σ = 32126400. Its totient is φ = 3760128.

The previous prime is 12057091. The next prime is 12057103. The reversal of 12057096 is 69075021.

It is not an unprimeable number, because it can be changed into a prime (12057091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62376 + ... + 62568.

It is an arithmetic number, because the mean of its divisors is an integer number (501975).

Almost surely, 212057096 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 12057096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063200).

12057096 is an abundant number, since it is smaller than the sum of its proper divisors (20069304).

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

12057096 is a wasteful number, since it uses less digits than its factorization.

12057096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 12057096 is about 3472.3329333461. The cubic root of 12057096 is about 229.3053775039.

The spelling of 12057096 in words is "twelve million, fifty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 137 152 193 228 274 386 411 456 548 579 772 822 1096 1158 1544 1644 2316 2603 3288 3667 4632 5206 7334 7809 10412 11001 14668 15618 20824 22002 26441 29336 31236 44004 52882 62472 79323 88008 105764 158646 211528 317292 502379 634584 1004758 1507137 2009516 3014274 4019032 6028548 12057096