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2117934 = 233713431
BaseRepresentation
bin1000000101000100101110
310222121021000
420011010232
51020233214
6113221130
724000510
oct10050456
93877230
102117934
111217265
128617a6
13592020
143d1bb0
152bc809
hex20512e

2117934 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 557280.

The previous prime is 2117903. The next prime is 2117953. The reversal of 2117934 is 4397112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2117898 and 2117907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22117934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2117934 is an abundant number, since it is smaller than the sum of its proper divisors (3688146).

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

2117934 is a wasteful number, since it uses less digits than its factorization.

2117934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 2117934 is about 1455.3123376100. The cubic root of 2117934 is about 128.4214218778.

It can be divided in two parts, 21 and 17934, that added together give a triangular number (17955 = T189).

The spelling of 2117934 in words is "two million, one hundred seventeen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 431 546 702 819 862 1293 1638 2457 2586 3017 3879 4914 5603 6034 7758 9051 11206 11637 16809 18102 23274 27153 33618 39221 50427 54306 78442 81459 100854 117663 151281 162918 235326 302562 352989 705978 1058967 2117934