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2034720 = 25345157
BaseRepresentation
bin111110000110000100000
310211101010000
413300300200
51010102340
6111340000
723203062
oct7606040
93741100
102034720
11116a796
12821600
1356319c
143ad732
152a2d30
hex1f0c20

2034720 has 120 divisors (see below), whose sum is σ = 7226604. Its totient is φ = 539136.

The previous prime is 2034709. The next prime is 2034731. The reversal of 2034720 is 274302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2034709) and next prime (2034731).

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 63504 = 1404^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2034693 and 2034702.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12882 + ... + 13038.

22034720 is an apocalyptic number.

2034720 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 2034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613302).

2034720 is an abundant number, since it is smaller than the sum of its proper divisors (5191884).

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

2034720 is a wasteful number, since it uses less digits than its factorization.

2034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2034720 is about 1426.4361184434. The cubic root of 2034720 is about 126.7170006177.

The spelling of 2034720 in words is "two million, thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 157 160 162 180 216 240 270 288 314 324 360 405 432 471 480 540 628 648 720 785 810 864 942 1080 1256 1296 1413 1440 1570 1620 1884 2160 2355 2512 2592 2826 3140 3240 3768 4239 4320 4710 5024 5652 6280 6480 7065 7536 8478 9420 11304 12560 12717 12960 14130 15072 16956 18840 21195 22608 25120 25434 28260 33912 37680 42390 45216 50868 56520 63585 67824 75360 84780 101736 113040 127170 135648 169560 203472 226080 254340 339120 406944 508680 678240 1017360 2034720