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2133378 = 234131013
BaseRepresentation
bin1000001000110110000010
311000101110000
420020312002
51021232003
6113420430
724063522
oct10106602
94011400
102133378
111227925
1286a716
13599070
143d7682
152c21a3
hex208d82

2133378 has 40 divisors (see below), whose sum is σ = 5153148. Its totient is φ = 655776.

The previous prime is 2133367. The next prime is 2133379. The reversal of 2133378 is 8733312.

It can be written as a sum of positive squares in 2 ways, for example, as 1520289 + 613089 = 1233^2 + 783^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2133379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1600 + ... + 2612.

22133378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576574).

2133378 is an abundant number, since it is smaller than the sum of its proper divisors (3019770).

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

2133378 is a wasteful number, since it uses less digits than its factorization.

2133378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2133378 is about 1460.6087771885. The cubic root of 2133378 is about 128.7328163827.

The spelling of 2133378 in words is "two million, one hundred thirty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1013 1053 2026 2106 3039 6078 9117 13169 18234 26338 27351 39507 54702 79014 82053 118521 164106 237042 355563 711126 1066689 2133378