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62106112 = 291011201
BaseRepresentation
bin1110110011101…
…0101000000000
311022212022120101
43230322220000
5111344343422
610055052144
71352615245
oct354725000
9138768511
1062106112
113206a272
1218971054
13cb367a3
1483695cc
1556bbc27
hex3b3aa00

62106112 has 40 divisors (see below), whose sum is σ = 125423892. Its totient is φ = 30720000.

The previous prime is 62106101. The next prime is 62106157. The reversal of 62106112 is 21160126.

It can be written as a sum of positive squares in 2 ways, for example, as 61716736 + 389376 = 7856^2 + 624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 62106112.

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, 51112 + ... + 52312.

Almost surely, 262106112 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 62106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62711946).

62106112 is an abundant number, since it is smaller than the sum of its proper divisors (63317780).

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

62106112 is a wasteful number, since it uses less digits than its factorization.

62106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 62106112 is about 7880.7431121691. The cubic root of 62106112 is about 396.0148278636.

Adding to 62106112 its reverse (21160126), we get a palindrome (83266238).

The spelling of 62106112 in words is "sixty-two million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1201 1616 2402 3232 4804 6464 9608 12928 19216 25856 38432 51712 76864 121301 153728 242602 307456 485204 614912 970408 1940816 3881632 7763264 15526528 31053056 62106112