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143680000 = 2954449
BaseRepresentation
bin10001001000001…
…10001000000000
3101000100200220111
420210012020000
5243240230000
622131321104
73363155062
oct1044061000
9330320814
10143680000
1174115a02
1240150194
13239c8369
1415121732
15c931cba
hex8906200

143680000 has 100 divisors (see below), whose sum is σ = 359533350. Its totient is φ = 57344000.

The previous prime is 143679997. The next prime is 143680003. The reversal of 143680000 is 86341.

It is an interprime number because it is at equal distance from previous prime (143679997) and next prime (143680003).

It can be written as a sum of positive squares in 5 ways, for example, as 3873024 + 139806976 = 1968^2 + 11824^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (143680003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319776 + ... + 320224.

Almost surely, 2143680000 is an apocalyptic number.

143680000 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 143680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179766675).

143680000 is an abundant number, since it is smaller than the sum of its proper divisors (215853350).

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

143680000 is an frugal number, since it uses more digits than its factorization.

143680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 143680000 is about 11986.6592510174. The cubic root of 143680000 is about 523.7597329034.

The spelling of 143680000 in words is "one hundred forty-three million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 449 500 512 625 640 800 898 1000 1250 1280 1600 1796 2000 2245 2500 2560 3200 3592 4000 4490 5000 6400 7184 8000 8980 10000 11225 12800 14368 16000 17960 20000 22450 28736 32000 35920 40000 44900 56125 57472 64000 71840 80000 89800 112250 114944 143680 160000 179600 224500 229888 280625 287360 320000 359200 449000 561250 574720 718400 898000 1122500 1149440 1436800 1796000 2245000 2873600 3592000 4490000 5747200 7184000 8980000 14368000 17960000 28736000 35920000 71840000 143680000