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2074660 = 225722973
BaseRepresentation
bin111111010100000100100
310220101220021
413322200210
51012342120
6112244524
723430400
oct7724044
93811807
102074660
1111977a5
12840744
13578413
143c0100
152aeaaa
hex1fa824

2074660 has 72 divisors (see below), whose sum is σ = 5314680. Its totient is φ = 677376.

The previous prime is 2074649. The next prime is 2074687. The reversal of 2074660 is 664702.

It can be written as a sum of positive squares in 4 ways, for example, as 268324 + 1806336 = 518^2 + 1344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28384 + ... + 28456.

It is an arithmetic number, because the mean of its divisors is an integer number (73815).

22074660 is an apocalyptic number.

2074660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657340).

2074660 is an abundant number, since it is smaller than the sum of its proper divisors (3240020).

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

2074660 is a wasteful number, since it uses less digits than its factorization.

2074660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2074660 is about 1440.3680085312. The cubic root of 2074660 is about 127.5407533444.

The spelling of 2074660 in words is "two million, seventy-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 73 98 116 140 145 146 196 203 245 290 292 365 406 490 511 580 730 812 980 1015 1022 1421 1460 2030 2044 2117 2555 2842 3577 4060 4234 5110 5684 7105 7154 8468 10220 10585 14210 14308 14819 17885 21170 28420 29638 35770 42340 59276 71540 74095 103733 148190 207466 296380 414932 518665 1037330 2074660