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2133936 = 243272973
BaseRepresentation
bin1000001000111110110000
311000102012200
420020332300
51021241221
6113423200
724065250
oct10107660
94012180
102133936
111228292
1286ab00
135993ac
143d7960
152c2426
hex208fb0

2133936 has 120 divisors (see below), whose sum is σ = 7157280. Its totient is φ = 580608.

The previous prime is 2133899. The next prime is 2133949. The reversal of 2133936 is 6393312.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29196 + ... + 29268.

It is an arithmetic number, because the mean of its divisors is an integer number (59644).

22133936 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 2133936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578640).

2133936 is an abundant number, since it is smaller than the sum of its proper divisors (5023344).

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

2133936 is a wasteful number, since it uses less digits than its factorization.

2133936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 2133936 is about 1460.7997809419. The cubic root of 2133936 is about 128.7440390617.

The spelling of 2133936 in words is "two million, one hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 73 84 87 112 116 126 144 146 168 174 203 219 232 252 261 292 336 348 406 438 464 504 511 522 584 609 657 696 812 876 1008 1022 1044 1168 1218 1314 1392 1533 1624 1752 1827 2044 2088 2117 2436 2628 3066 3248 3504 3654 4088 4176 4234 4599 4872 5256 6132 6351 7308 8176 8468 9198 9744 10512 12264 12702 14616 14819 16936 18396 19053 24528 25404 29232 29638 33872 36792 38106 44457 50808 59276 73584 76212 88914 101616 118552 133371 152424 177828 237104 266742 304848 355656 533484 711312 1066968 2133936