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2088261 = 34729127
BaseRepresentation
bin111111101110101000101
310221002120000
413331311011
51013311021
6112431513
723515140
oct7756505
93832500
102088261
1111a6a3a
12848599
13581676
143c5057
152b3b26
hex1fdd45

2088261 has 40 divisors (see below), whose sum is σ = 3717120. Its totient is φ = 1143072.

The previous prime is 2088259. The next prime is 2088269. The reversal of 2088261 is 1628802.

It is not a de Polignac number, because 2088261 - 21 = 2088259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16380 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (92928).

22088261 is an apocalyptic number.

2088261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2088261 is a deficient number, since it is larger than the sum of its proper divisors (1628859).

2088261 is a wasteful number, since it uses less digits than its factorization.

2088261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2088261 is about 1445.0816585923. The cubic root of 2088261 is about 127.8188559099.

The spelling of 2088261 in words is "two million, eighty-eight thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 127 189 203 261 381 567 609 783 889 1143 1827 2349 2667 3429 3683 5481 8001 10287 11049 16443 24003 25781 33147 72009 77343 99441 232029 298323 696087 2088261