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143982080 = 295115113
BaseRepresentation
bin10001001010011…
…11111000000000
3101000221001021122
420211033320000
5243324411310
622142011412
73365553554
oct1045177000
9330831248
10143982080
1174301960
1240276b68
1323aa29c8
141519d864
15c991555
hex894fe00

143982080 has 80 divisors (see below), whose sum is σ = 376676784. Its totient is φ = 52346880.

The previous prime is 143982067. The next prime is 143982101. The reversal of 143982080 is 80289341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1439820802 = 41461678722252800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 143982080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25604 + ... + 30716.

Almost surely, 2143982080 is an apocalyptic number.

143982080 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 143982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188338392).

143982080 is an abundant number, since it is smaller than the sum of its proper divisors (232694704).

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

143982080 is an equidigital number, since it uses as much as digits as its factorization.

143982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 143982080 is about 11999.2533101023. The cubic root of 143982080 is about 524.1265354927.

The spelling of 143982080 in words is "one hundred forty-three million, nine hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5113 5632 7040 10226 14080 20452 25565 28160 40904 51130 56243 81808 102260 112486 163616 204520 224972 281215 327232 409040 449944 562430 654464 818080 899888 1124860 1308928 1636160 1799776 2249720 2617856 3272320 3599552 4499440 6544640 7199104 8998880 13089280 14398208 17997760 28796416 35995520 71991040 143982080