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2136132 = 223419347
BaseRepresentation
bin1000001001100001000100
311000112020000
420021201010
51021324012
6113441300
724104535
oct10114104
94015200
102136132
1112299a9
12870230
1359a3ab
143d868c
152c2ddc
hex209844

2136132 has 60 divisors (see below), whose sum is σ = 5895120. Its totient is φ = 672624.

The previous prime is 2136131. The next prime is 2136133. The reversal of 2136132 is 2316312.

It is an interprime number because it is at equal distance from previous prime (2136131) and next prime (2136133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2136131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5983 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (98252).

22136132 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 2136132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947560).

2136132 is an abundant number, since it is smaller than the sum of its proper divisors (3758988).

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

2136132 is a wasteful number, since it uses less digits than its factorization.

2136132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2136132 is about 1461.5512307134. The cubic root of 2136132 is about 128.7881867437.

The spelling of 2136132 in words is "two million, one hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 347 513 684 694 1026 1041 1388 1539 2052 2082 3078 3123 4164 6156 6246 6593 9369 12492 13186 18738 19779 26372 28107 37476 39558 56214 59337 79116 112428 118674 178011 237348 356022 534033 712044 1068066 2136132