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2074272 = 253173141
BaseRepresentation
bin111111010011010100000
310220101100220
413322122200
51012334042
6112243040
723426304
oct7723240
93811326
102074272
111197482
12840480
135781a5
143bdd04
152ae8ec
hex1fa6a0

2074272 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 614400.

The previous prime is 2074243. The next prime is 2074273. The reversal of 2074272 is 2724702.

2074272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074273) 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 15 ways as a sum of consecutive naturals, for example, 50572 + ... + 50612.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22074272 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 2074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2074272 is an abundant number, since it is smaller than the sum of its proper divisors (4022112).

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

2074272 is a wasteful number, since it uses less digits than its factorization.

2074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2074272 is about 1440.2333144321. The cubic root of 2074272 is about 127.5328020178.

Adding to 2074272 its reverse (2724702), we get a palindrome (4798974).

It can be divided in two parts, 2074 and 272, that added together give a triangular number (2346 = T68).

The spelling of 2074272 in words is "two million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 41 48 51 62 68 82 93 96 102 123 124 136 164 186 204 246 248 272 328 372 408 492 496 527 544 656 697 744 816 984 992 1054 1271 1312 1394 1488 1581 1632 1968 2091 2108 2542 2788 2976 3162 3813 3936 4182 4216 5084 5576 6324 7626 8364 8432 10168 11152 12648 15252 16728 16864 20336 21607 22304 25296 30504 33456 40672 43214 50592 61008 64821 66912 86428 122016 129642 172856 259284 345712 518568 691424 1037136 2074272