Search a number
-
+
2115440 = 24531853
BaseRepresentation
bin1000000100011101110000
310222110211122
420010131300
51020143230
6113201412
723660315
oct10043560
93873748
102115440
1112153a8
12860268
13590b52
143d0d0c
152bbbe5
hex204770

2115440 has 40 divisors (see below), whose sum is σ = 5083008. Its totient is φ = 817920.

The previous prime is 2115437. The next prime is 2115457. The reversal of 2115440 is 445112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2054 + ... + 2906.

22115440 is an apocalyptic number.

2115440 is a gapful number since it is divisible by the number (20) 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 2115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541504).

2115440 is an abundant number, since it is smaller than the sum of its proper divisors (2967568).

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

2115440 is a wasteful number, since it uses less digits than its factorization.

2115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2115440 is about 1454.4552244741. The cubic root of 2115440 is about 128.3709939882.

The spelling of 2115440 in words is "two million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 853 1240 1706 2480 3412 4265 6824 8530 13648 17060 26443 34120 52886 68240 105772 132215 211544 264430 423088 528860 1057720 2115440