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2074072 = 2372111337
BaseRepresentation
bin111111010010111011000
310220101002111
413322113120
51012332242
6112242104
723425600
oct7722730
93811074
102074072
111197310
12840334
13578080
143bdc00
152ae817
hex1fa5d8

2074072 has 96 divisors (see below), whose sum is σ = 5458320. Its totient is φ = 725760.

The previous prime is 2074057. The next prime is 2074081. The reversal of 2074072 is 2704702.

It is a super-2 number, since 2×20740722 = 8603549322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56038 + ... + 56074.

22074072 is an apocalyptic number.

2074072 is a gapful number since it is divisible by the number (22) 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 2074072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729160).

2074072 is an abundant number, since it is smaller than the sum of its proper divisors (3384248).

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

2074072 is a wasteful number, since it uses less digits than its factorization.

2074072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 2074072 is about 1440.1638795637. The cubic root of 2074072 is about 127.5287030086.

Adding to 2074072 its reverse (2704702), we get a palindrome (4778774).

The spelling of 2074072 in words is "two million, seventy-four thousand, seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 37 44 49 52 56 74 77 88 91 98 104 143 148 154 182 196 259 286 296 308 364 392 407 481 518 539 572 616 637 728 814 962 1001 1036 1078 1144 1274 1628 1813 1924 2002 2072 2156 2548 2849 3256 3367 3626 3848 4004 4312 5096 5291 5698 6734 7007 7252 8008 10582 11396 13468 14014 14504 19943 21164 22792 23569 26936 28028 37037 39886 42328 47138 56056 74074 79772 94276 148148 159544 188552 259259 296296 518518 1037036 2074072