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1906112 = 26132979
BaseRepresentation
bin111010001010111000000
310120211200202
413101113000
5441443422
6104504332
722126115
oct7212700
93524622
101906112
1110920aa
1277b0a8
135197a0
1437890c
15279b92
hex1d15c0

1906112 has 56 divisors (see below), whose sum is σ = 4267200. Its totient is φ = 838656.

The previous prime is 1906109. The next prime is 1906117. The reversal of 1906112 is 2116091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906117) 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, 24089 + ... + 24167.

It is an arithmetic number, because the mean of its divisors is an integer number (76200).

21906112 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 1906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133600).

1906112 is an abundant number, since it is smaller than the sum of its proper divisors (2361088).

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

1906112 is a wasteful number, since it uses less digits than its factorization.

1906112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1906112 is about 1380.6201505121. The cubic root of 1906112 is about 123.9888994572.

The spelling of 1906112 in words is "one million, nine hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 79 104 116 158 208 232 316 377 416 464 632 754 832 928 1027 1264 1508 1856 2054 2291 2528 3016 4108 4582 5056 6032 8216 9164 12064 16432 18328 24128 29783 32864 36656 59566 65728 73312 119132 146624 238264 476528 953056 1906112