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2117136 = 24376301
BaseRepresentation
bin1000000100111000010000
310222120011110
420010320100
51020222021
6113213320
723665260
oct10047020
93876143
102117136
1112166aa
12861240
13591858
143d17a0
152bc476
hex204e10

2117136 has 40 divisors (see below), whose sum is σ = 6251584. Its totient is φ = 604800.

The previous prime is 2117131. The next prime is 2117147. The reversal of 2117136 is 6317112.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117131) 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, 2815 + ... + 3486.

22117136 is an apocalyptic number.

It is an amenable number.

2117136 is an abundant number, since it is smaller than the sum of its proper divisors (4134448).

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

2117136 is a wasteful number, since it uses less digits than its factorization.

2117136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6313 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 2117136 is about 1455.0381438299. The cubic root of 2117136 is about 128.4052908797.

The spelling of 2117136 in words is "two million, one hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6301 12602 18903 25204 37806 44107 50408 75612 88214 100816 132321 151224 176428 264642 302448 352856 529284 705712 1058568 2117136