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2136148 = 2272331107
BaseRepresentation
bin1000001001100001010100
311000112020121
420021201110
51021324043
6113441324
724104560
oct10114124
94015217
102136148
111229a13
12870244
1359a3c1
143d86a0
152c2ded
hex209854

2136148 has 48 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 839520.

The previous prime is 2136143. The next prime is 2136157. The reversal of 2136148 is 8416312.

2136148 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19911 + ... + 20017.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

22136148 is an apocalyptic number.

2136148 is a gapful number since it is divisible by the number (28) 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 2136148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432).

2136148 is an abundant number, since it is smaller than the sum of its proper divisors (2508716).

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

2136148 is a wasteful number, since it uses less digits than its factorization.

2136148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 2136148 is about 1461.5567043396. The cubic root of 2136148 is about 128.7885082915.

The spelling of 2136148 in words is "two million, one hundred thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 107 124 161 214 217 322 428 434 644 713 749 868 1426 1498 2461 2852 2996 3317 4922 4991 6634 9844 9982 13268 17227 19964 23219 34454 46438 68908 76291 92876 152582 305164 534037 1068074 2136148