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2133912 = 2331159137
BaseRepresentation
bin1000001000111110011000
311000102011210
420020332120
51021241122
6113423120
724065214
oct10107630
94012153
102133912
111228270
1286aaa0
13599391
143d7944
152c240c
hex208f98

2133912 has 64 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 631040.

The previous prime is 2133899. The next prime is 2133949. The reversal of 2133912 is 2193312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15508 + ... + 15644.

It is an arithmetic number, because the mean of its divisors is an integer number (93150).

22133912 is an apocalyptic number.

2133912 is a gapful number since it is divisible by the number (22) 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 2133912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).

2133912 is an abundant number, since it is smaller than the sum of its proper divisors (3827688).

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

2133912 is a wasteful number, since it uses less digits than its factorization.

2133912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 2133912 is about 1460.7915662407. The cubic root of 2133912 is about 128.7435564061.

It can be divided in two parts, 21 and 33912, that added together give a palindrome (33933).

The spelling of 2133912 in words is "two million, one hundred thirty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 137 177 236 264 274 354 411 472 548 649 708 822 1096 1298 1416 1507 1644 1947 2596 3014 3288 3894 4521 5192 6028 7788 8083 9042 12056 15576 16166 18084 24249 32332 36168 48498 64664 88913 96996 177826 193992 266739 355652 533478 711304 1066956 2133912