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2147136 = 26353211
BaseRepresentation
bin1000001100001101000000
311001002022120
420030031000
51022202021
6114004240
724151605
oct10141500
94032276
102147136
1112371a2
12876680
135a23c4
143dc6ac
152c62c6
hex20c340

2147136 has 56 divisors (see below), whose sum is σ = 5815584. Its totient is φ = 698880.

The previous prime is 2147107. The next prime is 2147137. The reversal of 2147136 is 6317412.

It is a super-2 number, since 2×21471362 = 9220386004992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10071 + ... + 10281.

22147136 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 2147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907792).

2147136 is an abundant number, since it is smaller than the sum of its proper divisors (3668448).

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

2147136 is a wasteful number, since it uses less digits than its factorization.

2147136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 2147136 is about 1465.3108885148. The cubic root of 2147136 is about 129.0089531674.

The spelling of 2147136 in words is "two million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 211 212 318 422 424 633 636 844 848 1266 1272 1688 1696 2532 2544 3376 3392 5064 5088 6752 10128 10176 11183 13504 20256 22366 33549 40512 44732 67098 89464 134196 178928 268392 357856 536784 715712 1073568 2147136