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2073288 = 233724143
BaseRepresentation
bin111111010001011001000
310220100000110
413322023020
51012321123
6112234320
723423400
oct7721310
93810013
102073288
111196768
1283b9a0
135778c9
143bd800
152ae493
hex1fa2c8

2073288 has 96 divisors (see below), whose sum is σ = 6320160. Its totient is φ = 564480.

The previous prime is 2073283. The next prime is 2073293. The reversal of 2073288 is 8823702.

It is an interprime number because it is at equal distance from previous prime (2073283) and next prime (2073293).

It is not an unprimeable number, because it can be changed into a prime (2073283) 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 23 ways as a sum of consecutive naturals, for example, 48195 + ... + 48237.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

22073288 is an apocalyptic number.

2073288 is a gapful number since it is divisible by the number (28) 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 2073288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080).

2073288 is an abundant number, since it is smaller than the sum of its proper divisors (4246872).

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

2073288 is a wasteful number, since it uses less digits than its factorization.

2073288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2073288 is about 1439.8916625913. The cubic root of 2073288 is about 127.5126323508.

The spelling of 2073288 in words is "two million, seventy-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 43 49 56 82 84 86 98 123 129 147 164 168 172 196 246 258 287 294 301 328 344 392 492 516 574 588 602 861 903 984 1032 1148 1176 1204 1722 1763 1806 2009 2107 2296 2408 3444 3526 3612 4018 4214 5289 6027 6321 6888 7052 7224 8036 8428 10578 12054 12341 12642 14104 16072 16856 21156 24108 24682 25284 37023 42312 48216 49364 50568 74046 86387 98728 148092 172774 259161 296184 345548 518322 691096 1036644 2073288