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2136348 = 2233131151
BaseRepresentation
bin1000001001100100011100
311000112112000
420021210130
51021330343
6113442300
724105264
oct10114434
94015460
102136348
11122a085
12870390
1359a516
143d87a4
152c2ed3
hex20991c

2136348 has 48 divisors (see below), whose sum is σ = 5617920. Its totient is φ = 702000.

The previous prime is 2136347. The next prime is 2136353. The reversal of 2136348 is 8436312.

It is a happy number.

2136348 is a `hidden beast` number, since 21 + 3 + 634 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136347) 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, 14073 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

22136348 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 2136348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808960).

2136348 is an abundant number, since it is smaller than the sum of its proper divisors (3481572).

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

2136348 is a wasteful number, since it uses less digits than its factorization.

2136348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2136348 is about 1461.6251229368. The cubic root of 2136348 is about 128.7925275039.

It can be divided in two parts, 213 and 6348, that added together give a 8-th power (6561 = 38).

The spelling of 2136348 in words is "two million, one hundred thirty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 151 262 302 393 453 524 604 786 906 1179 1359 1572 1812 2358 2718 3537 4077 4716 5436 7074 8154 14148 16308 19781 39562 59343 79124 118686 178029 237372 356058 534087 712116 1068174 2136348