[go: up one dir, main page]

Search a number
-
+
2115456 = 2737787
BaseRepresentation
bin1000000100011110000000
310222110212020
420010132000
51020143311
6113201440
723660340
oct10043600
93873766
102115456
111215412
12860280
13590b65
143d0d20
152bbc06
hex204780

2115456 has 64 divisors (see below), whose sum is σ = 6430080. Its totient is φ = 603648.

The previous prime is 2115437. The next prime is 2115457. The reversal of 2115456 is 6545112.

It is a tau number, because it is divible by the number of its divisors (64).

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 (2115457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2295 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (100470).

22115456 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 2115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215040).

2115456 is an abundant number, since it is smaller than the sum of its proper divisors (4314624).

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

2115456 is an equidigital number, since it uses as much as digits as its factorization.

2115456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 2115456 is about 1454.4607248049. The cubic root of 2115456 is about 128.3713176294.

The spelling of 2115456 in words is "two million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 787 896 1344 1574 2361 2688 3148 4722 5509 6296 9444 11018 12592 16527 18888 22036 25184 33054 37776 44072 50368 66108 75552 88144 100736 132216 151104 176288 264432 302208 352576 528864 705152 1057728 2115456