Search a number
-
+
2154140 = 225374171
BaseRepresentation
bin1000001101111010011100
311001102220222
420031322130
51022413030
6114100512
724211202
oct10157234
94042828
102154140
11124148a
1287a738
135a5651
14401072
152c83e5
hex20de9c

2154140 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 806400.

The previous prime is 2154137. The next prime is 2154143. The reversal of 2154140 is 414512.

2154140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2154137) and next prime (2154143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30305 + ... + 30375.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

22154140 is an apocalyptic number.

2154140 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 2154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

2154140 is an abundant number, since it is smaller than the sum of its proper divisors (2672164).

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

2154140 is a wasteful number, since it uses less digits than its factorization.

2154140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

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

The square root of 2154140 is about 1467.6988791983. The cubic root of 2154140 is about 129.1490774985.

Adding to 2154140 its reverse (414512), we get a palindrome (2568652).

The spelling of 2154140 in words is "two million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 41 71 74 82 142 148 164 185 205 284 355 370 410 710 740 820 1420 1517 2627 2911 3034 5254 5822 6068 7585 10508 11644 13135 14555 15170 26270 29110 30340 52540 58220 107707 215414 430828 538535 1077070 2154140