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4423680 = 215335
BaseRepresentation
bin10000111000000000000000
322022202011000
4100320000000
52113024210
6234452000
752413012
oct20700000
98282130
104423680
112551638
121594000
13bbb681
148321b2
155c5ac0
hex438000

4423680 has 128 divisors (see below), whose sum is σ = 15728400. Its totient is φ = 1179648.

The previous prime is 4423673. The next prime is 4423681. The reversal of 4423680 is 863244.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)8.

It is a tau number, because it is divible by the number of its divisors (128).

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 (4423681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884734 + ... + 884738.

Almost surely, 24423680 is an apocalyptic number.

4423680 is a gapful number since it is divisible by the number (40) 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 4423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864200).

4423680 is an abundant number, since it is smaller than the sum of its proper divisors (11304720).

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

4423680 is an frugal number, since it uses more digits than its factorization.

4423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4423680 is about 2103.2546208198. The cubic root of 4423680 is about 164.1576908810.

The spelling of 4423680 in words is "four million, four hundred twenty-three 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 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1024 1080 1152 1280 1440 1536 1728 1920 2048 2160 2304 2560 2880 3072 3456 3840 4096 4320 4608 5120 5760 6144 6912 7680 8192 8640 9216 10240 11520 12288 13824 15360 16384 17280 18432 20480 23040 24576 27648 30720 32768 34560 36864 40960 46080 49152 55296 61440 69120 73728 81920 92160 98304 110592 122880 138240 147456 163840 184320 221184 245760 276480 294912 368640 442368 491520 552960 737280 884736 1105920 1474560 2211840 4423680