[go: up one dir, main page]

Search a number
-
+
2711072 = 25731319
BaseRepresentation
bin1010010101111000100000
312002201220002
422111320200
51143223242
6134035132
732021000
oct12257040
95081802
102711072
111591961
12aa8aa8
1373bcb0
14508000
15388432
hex295e20

2711072 has 96 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 1016064.

The previous prime is 2711057. The next prime is 2711077. The reversal of 2711072 is 2701172.

It is a super-2 number, since 2×27110722 = 14699822778368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142679 + ... + 142697.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

22711072 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 2711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2711072 is an abundant number, since it is smaller than the sum of its proper divisors (4344928).

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

2711072 is a wasteful number, since it uses less digits than its factorization.

2711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 2711072 is about 1646.5333279348. The cubic root of 2711072 is about 139.4377449461.

The spelling of 2711072 in words is "two million, seven hundred eleven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 182 196 208 224 247 266 304 343 364 392 416 494 532 608 637 686 728 784 931 988 1064 1274 1372 1456 1568 1729 1862 1976 2128 2548 2744 2912 3458 3724 3952 4256 4459 5096 5488 6517 6916 7448 7904 8918 10192 10976 12103 13034 13832 14896 17836 20384 24206 26068 27664 29792 35672 48412 52136 55328 71344 84721 96824 104272 142688 169442 193648 208544 338884 387296 677768 1355536 2711072