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12057870 = 2351161599
BaseRepresentation
bin101101111111…
…110100001110
3211200121021210
4231333310032
511041322440
61110235250
7204330066
oct55776416
924617253
1012057870
116896290
124055b26
132662446
14185c3a6
1510d2a80
hexb7fd0e

12057870 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2870400.

The previous prime is 12057869. The next prime is 12057883. The reversal of 12057870 is 7875021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 19831 + ... + 20429.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 212057870 is an apocalyptic number.

12057870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12057870 is an abundant number, since it is smaller than the sum of its proper divisors (20082930).

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

12057870 is a wasteful number, since it uses less digits than its factorization.

12057870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 12057870 is about 3472.4443840039. Note that the first 3 decimals coincide. The cubic root of 12057870 is about 229.3102841184.

The spelling of 12057870 in words is "twelve million, fifty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 599 610 671 915 1198 1342 1797 1830 2013 2995 3355 3594 4026 5990 6589 6710 8985 10065 13178 17970 19767 20130 32945 36539 39534 65890 73078 98835 109617 182695 197670 219234 365390 401929 548085 803858 1096170 1205787 2009645 2411574 4019290 6028935 12057870