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12057948 = 2232759811
BaseRepresentation
bin101101111111…
…110101011100
3211200121101200
4231333311130
511041323243
61110235500
7204330240
oct55776534
924617350
1012057948
116896351
124055b90
1326624a6
14185c420
1510d2ad3
hexb7fd5c

12057948 has 72 divisors (see below), whose sum is σ = 35468160. Its totient is φ = 3382560.

The previous prime is 12057919. The next prime is 12057949. The reversal of 12057948 is 84975021.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14463 + ... + 15273.

Almost surely, 212057948 is an apocalyptic number.

12057948 is a gapful number since it is divisible by the number (18) 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 12057948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734080).

12057948 is an abundant number, since it is smaller than the sum of its proper divisors (23410212).

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

12057948 is a wasteful number, since it uses less digits than its factorization.

12057948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12057948 is about 3472.4556152671. The cubic root of 12057948 is about 229.3107785717.

The spelling of 12057948 in words is "twelve million, fifty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 811 826 1062 1239 1622 1652 2124 2433 2478 3244 3717 4866 4956 5677 7299 7434 9732 11354 14598 14868 17031 22708 29196 34062 47849 51093 68124 95698 102186 143547 191396 204372 287094 334943 430641 574188 669886 861282 1004829 1339772 1722564 2009658 3014487 4019316 6028974 12057948