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2742012 = 223571331
BaseRepresentation
bin1010011101011011111100
312011022100000
422131123330
51200221022
6134434300
732210130
oct12353374
95138300
102742012
111603129
12b02990
137500c0
145153c0
153926ac
hex29d6fc

2742012 has 144 divisors (see below), whose sum is σ = 9132032. Its totient is φ = 699840.

The previous prime is 2742007. The next prime is 2742013. The reversal of 2742012 is 2102472.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88437 + ... + 88467.

22742012 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 2742012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566016).

2742012 is an abundant number, since it is smaller than the sum of its proper divisors (6390020).

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

2742012 is a wasteful number, since it uses less digits than its factorization.

2742012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2742012 is about 1655.9021710234. The cubic root of 2742012 is about 139.9661823080.

Adding to 2742012 its reverse (2102472), we get a palindrome (4844484).

The spelling of 2742012 in words is "two million, seven hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 52 54 62 63 78 81 84 91 93 108 117 124 126 156 162 182 186 189 217 234 243 252 273 279 324 351 364 372 378 403 434 468 486 546 558 567 651 702 756 806 819 837 868 972 1053 1092 1116 1134 1209 1302 1404 1612 1638 1674 1701 1953 2106 2268 2418 2457 2511 2604 2821 3159 3276 3348 3402 3627 3906 4212 4836 4914 5022 5642 5859 6318 6804 7254 7371 7533 7812 8463 9828 10044 10881 11284 11718 12636 14508 14742 15066 16926 17577 21762 22113 23436 25389 29484 30132 32643 33852 35154 43524 44226 50778 52731 65286 70308 76167 88452 97929 101556 105462 130572 152334 195858 210924 228501 304668 391716 457002 685503 914004 1371006 2742012