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2106064 = 24235997
BaseRepresentation
bin1000000010001011010000
310221222222101
420002023100
51014343224
6113050144
723621062
oct10021320
93858871
102106064
111209354
12856954
135897bc
143cb732
152b9044
hex2022d0

2106064 has 40 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 979968.

The previous prime is 2106059. The next prime is 2106089. The reversal of 2106064 is 4606012.

2106064 = 982 + 992 + ... + 1932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21664 + ... + 21760.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

22106064 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 2106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

2106064 is an abundant number, since it is smaller than the sum of its proper divisors (2268656).

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

2106064 is a wasteful number, since it uses less digits than its factorization.

2106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2106064 is about 1451.2284451457. The cubic root of 2106064 is about 128.1810588716.

The spelling of 2106064 in words is "two million, one hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 59 92 97 118 184 194 236 368 388 472 776 944 1357 1552 2231 2714 4462 5428 5723 8924 10856 11446 17848 21712 22892 35696 45784 91568 131629 263258 526516 1053032 2106064