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2133440 = 26559113
BaseRepresentation
bin1000001000110111000000
311000101112022
420020313000
51021232230
6113421012
724063641
oct10106700
94011468
102133440
111227981
1286a768
135990ba
143d76c8
152c21e5
hex208dc0

2133440 has 56 divisors (see below), whose sum is σ = 5212080. Its totient is φ = 831488.

The previous prime is 2133433. The next prime is 2133463. The reversal of 2133440 is 443312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18824 + ... + 18936.

22133440 is an apocalyptic number.

2133440 is a gapful number since it is divisible by the number (20) 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 2133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606040).

2133440 is an abundant number, since it is smaller than the sum of its proper divisors (3078640).

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

2133440 is a wasteful number, since it uses less digits than its factorization.

2133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2133440 is about 1460.6300010612. The cubic root of 2133440 is about 128.7340634436.

Adding to 2133440 its reverse (443312), we get a palindrome (2576752).

The spelling of 2133440 in words is "two million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 113 118 160 226 236 295 320 452 472 565 590 904 944 1130 1180 1808 1888 2260 2360 3616 3776 4520 4720 6667 7232 9040 9440 13334 18080 18880 26668 33335 36160 53336 66670 106672 133340 213344 266680 426688 533360 1066720 2133440