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2006172 = 2232719419
BaseRepresentation
bin111101001110010011100
310202220221200
413221302130
51003144142
6110555500
723023620
oct7516234
93686850
102006172
1111502a3
12808b90
135531ac
143a3180
1529964c
hex1e9c9c

2006172 has 72 divisors (see below), whose sum is σ = 6115200. Its totient is φ = 541728.

The previous prime is 2006159. The next prime is 2006183. The reversal of 2006172 is 2716002.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4579 + ... + 4997.

22006172 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 2006172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057600).

2006172 is an abundant number, since it is smaller than the sum of its proper divisors (4109028).

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

2006172 is a wasteful number, since it uses less digits than its factorization.

2006172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2006172 is about 1416.3940129780. The cubic root of 2006172 is about 126.1215757771.

The spelling of 2006172 in words is "two million, six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 419 532 684 798 838 1197 1257 1596 1676 2394 2514 2933 3771 4788 5028 5866 7542 7961 8799 11732 15084 15922 17598 23883 26397 31844 35196 47766 52794 55727 71649 95532 105588 111454 143298 167181 222908 286596 334362 501543 668724 1003086 2006172