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2077272 = 233359163
BaseRepresentation
bin111111011001001011000
310220112111000
413323021120
51012433042
6112305000
723441121
oct7731130
93815430
102077272
11119975a
12842160
13579672
143c1048
152b074c
hex1fb258

2077272 has 64 divisors (see below), whose sum is σ = 5904000. Its totient is φ = 676512.

The previous prime is 2077261. The next prime is 2077297. The reversal of 2077272 is 2727702.

2077272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12663 + ... + 12825.

It is an arithmetic number, because the mean of its divisors is an integer number (92250).

22077272 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 2077272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952000).

2077272 is an abundant number, since it is smaller than the sum of its proper divisors (3826728).

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

2077272 is a wasteful number, since it uses less digits than its factorization.

2077272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 2077272 is about 1441.2744360461. The cubic root of 2077272 is about 127.5942555630.

The spelling of 2077272 in words is "two million, seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 163 177 216 236 326 354 472 489 531 652 708 978 1062 1304 1416 1467 1593 1956 2124 2934 3186 3912 4248 4401 5868 6372 8802 9617 11736 12744 17604 19234 28851 35208 38468 57702 76936 86553 115404 173106 230808 259659 346212 519318 692424 1038636 2077272