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2047680 = 2634579
BaseRepresentation
bin111110011111011000000
310212000220000
413303323000
51011011210
6111520000
723255625
oct7637300
93760800
102047680
1111794a8
12829000
1356905b
143b434c
152a6ac0
hex1f3ec0

2047680 has 140 divisors (see below), whose sum is σ = 7376160. Its totient is φ = 539136.

The previous prime is 2047651. The next prime is 2047699. The reversal of 2047680 is 867402.

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

It is a congruent number.

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, 25881 + ... + 25959.

22047680 is an apocalyptic number.

2047680 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 2047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688080).

2047680 is an abundant number, since it is smaller than the sum of its proper divisors (5328480).

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

2047680 is an equidigital number, since it uses as much as digits as its factorization.

2047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2047680 is about 1430.9716978333. The cubic root of 2047680 is about 126.9854696419.

The spelling of 2047680 in words is "two million, forty-seven thousand, six hundred eighty".

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 64 72 79 80 81 90 96 108 120 135 144 158 160 162 180 192 216 237 240 270 288 316 320 324 360 395 405 432 474 480 540 576 632 648 711 720 790 810 864 948 960 1080 1185 1264 1296 1422 1440 1580 1620 1728 1896 2133 2160 2370 2528 2592 2844 2880 3160 3240 3555 3792 4266 4320 4740 5056 5184 5688 6320 6399 6480 7110 7584 8532 8640 9480 10665 11376 12640 12798 12960 14220 15168 17064 18960 21330 22752 25280 25596 25920 28440 31995 34128 37920 42660 45504 51192 56880 63990 68256 75840 85320 102384 113760 127980 136512 170640 204768 227520 255960 341280 409536 511920 682560 1023840 2047680