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2073264 = 24347919
BaseRepresentation
bin111111010001010110000
310220022222120
413322022300
51012321024
6112234240
723423334
oct7721260
93808876
102073264
111196746
1283b980
135778ab
143bd7c4
152ae479
hex1fa2b0

2073264 has 40 divisors (see below), whose sum is σ = 5475840. Its totient is φ = 675648.

The previous prime is 2073263. The next prime is 2073277. The reversal of 2073264 is 4623702.

It is a super-2 number, since 2×20732642 = 8596847227392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 23 + 0 + 73 + 34 + 217 + 68 + 49 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2073263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1797 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (136896).

22073264 is an apocalyptic number.

2073264 is a gapful number since it is divisible by the number (24) 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 2073264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737920).

2073264 is an abundant number, since it is smaller than the sum of its proper divisors (3402576).

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

2073264 is a wasteful number, since it uses less digits than its factorization.

2073264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2073264 is about 1439.8833286069. The cubic root of 2073264 is about 127.5121403280.

Adding to 2073264 its reverse (4623702), we get a palindrome (6696966).

The spelling of 2073264 in words is "two million, seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 919 1128 1838 2256 2757 3676 5514 7352 11028 14704 22056 43193 44112 86386 129579 172772 259158 345544 518316 691088 1036632 2073264