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166141440 = 293257211
BaseRepresentation
bin10011110011100…
…01111000000000
3102120121212012200
421321301320000
5320013011230
624252553200
74055115243
oct1171617000
9376555180
10166141440
1185867583
1247782800
1328560c5a
14180cb25a
15e8bc160
hex9e71e00

166141440 has 120 divisors (see below), whose sum is σ = 575474328. Its totient is φ = 44298240.

The previous prime is 166141439. The next prime is 166141483. The reversal of 166141440 is 44141661.

166141440 is a `hidden beast` number, since 1 + 6 + 614 + 1 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19435 + ... + 26645.

Almost surely, 2166141440 is an apocalyptic number.

166141440 is a gapful number since it is divisible by the number (10) 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 166141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287737164).

166141440 is an abundant number, since it is smaller than the sum of its proper divisors (409332888).

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

166141440 is an equidigital number, since it uses as much as digits as its factorization.

166141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 166141440 is about 12889.5864945312. The cubic root of 166141440 is about 549.7425130831.

The spelling of 166141440 in words is "one hundred sixty-six million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7211 7680 11520 14422 21633 23040 28844 36055 43266 57688 64899 72110 86532 108165 115376 129798 144220 173064 216330 230752 259596 288440 324495 346128 432660 461504 519192 576880 648990 692256 865320 923008 1038384 1153760 1297980 1384512 1730640 1846016 2076768 2307520 2595960 2769024 3461280 3692032 4153536 4615040 5191920 5538048 6922560 8307072 9230080 10383840 11076096 13845120 16614144 18460160 20767680 27690240 33228288 41535360 55380480 83070720 166141440