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2006592 = 26371493
BaseRepresentation
bin111101001111001000000
310202221112020
413221321000
51003202332
6111001440
723025060
oct7517100
93687466
102006592
111150645
12809280
13553443
143a33a0
1529982c
hex1e9e40

2006592 has 56 divisors (see below), whose sum is σ = 6071616. Its totient is φ = 572928.

The previous prime is 2006579. The next prime is 2006603. The reversal of 2006592 is 2956002.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×20065922 = 8052822908928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 598 + ... + 2090.

22006592 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 2006592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035808).

2006592 is an abundant number, since it is smaller than the sum of its proper divisors (4065024).

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

2006592 is a wasteful number, since it uses less digits than its factorization.

2006592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2006592 is about 1416.5422690481. The cubic root of 2006592 is about 126.1303765123.

It can be divided in two parts, 200659 and 2, that added together give a triangular number (200661 = T633).

The spelling of 2006592 in words is "two million, six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1493 2986 4479 5972 8958 10451 11944 17916 20902 23888 31353 35832 41804 47776 62706 71664 83608 95552 125412 143328 167216 250824 286656 334432 501648 668864 1003296 2006592