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1506112 = 26101233
BaseRepresentation
bin101101111101101000000
32211111222221
411233231000
5341143422
652140424
715541666
oct5575500
92744887
101506112
11939623
12607714
134096ba
142b2c36
151eb3c7
hex16fb40

1506112 has 28 divisors (see below), whose sum is σ = 3031236. Its totient is φ = 742400.

The previous prime is 1506103. The next prime is 1506121. The reversal of 1506112 is 2116051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1506103) and next prime (1506121).

It can be written as a sum of positive squares in 2 ways, for example, as 952576 + 553536 = 976^2 + 744^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6348 + ... + 6580.

21506112 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 1506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515618).

1506112 is an abundant number, since it is smaller than the sum of its proper divisors (1525124).

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

1506112 is a wasteful number, since it uses less digits than its factorization.

1506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1506112 is about 1227.2375483174. The cubic root of 1506112 is about 114.6266911911.

The spelling of 1506112 in words is "one million, five hundred six thousand, one hundred twelve".