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2059164 = 2232471217
BaseRepresentation
bin111110110101110011100
310212121122100
413312232130
51011343124
6112045100
723334252
oct7665634
93777570
102059164
111187098
12833790
13571353
143b85d2
152aa1c9
hex1f6b9c

2059164 has 36 divisors (see below), whose sum is σ = 5320224. Its totient is φ = 671232.

The previous prime is 2059157. The next prime is 2059181. The reversal of 2059164 is 4619502.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (147784).

22059164 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 2059164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660112).

2059164 is an abundant number, since it is smaller than the sum of its proper divisors (3261060).

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

2059164 is a wasteful number, since it uses less digits than its factorization.

2059164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2059164 is about 1434.9787454872. The cubic root of 2059164 is about 127.2224180257. Note that the first 3 decimals are identical.

The spelling of 2059164 in words is "two million, fifty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1217 1692 2434 3651 4868 7302 10953 14604 21906 43812 57199 114398 171597 228796 343194 514791 686388 1029582 2059164