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2084720 = 2451123103
BaseRepresentation
bin111111100111101110000
310220220200212
413330331300
51013202340
6112403252
723501621
oct7747560
93826625
102084720
1111a4310
12846528
1357cb81
143c3a48
152b2a65
hex1fcf70

2084720 has 80 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 718080.

The previous prime is 2084689. The next prime is 2084749. The reversal of 2084720 is 274802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20189 + ... + 20291.

22084720 is an apocalyptic number.

2084720 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 2084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2084720 is an abundant number, since it is smaller than the sum of its proper divisors (3486352).

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

2084720 is a wasteful number, since it uses less digits than its factorization.

2084720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2084720 is about 1443.8559484935. The cubic root of 2084720 is about 127.7465688676.

The spelling of 2084720 in words is "two million, eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 103 110 115 176 184 206 220 230 253 368 412 440 460 506 515 824 880 920 1012 1030 1133 1265 1648 1840 2024 2060 2266 2369 2530 4048 4120 4532 4738 5060 5665 8240 9064 9476 10120 11330 11845 18128 18952 20240 22660 23690 26059 37904 45320 47380 52118 90640 94760 104236 130295 189520 208472 260590 416944 521180 1042360 2084720