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142278640 = 2457298761
BaseRepresentation
bin10000111101011…
…11111111110000
3100220201111121021
420132233333300
5242410404030
622041305224
73345230350
oct1036577760
9326644537
10142278640
1173349059
123b795214
132362755a
1414c78b60
15c75697a
hex87afff0

142278640 has 80 divisors (see below), whose sum is σ = 391135680. Its totient is φ = 47093760.

The previous prime is 142278637. The next prime is 142278641. The reversal of 142278640 is 46872241.

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 2×1422786402 = 40486422800499200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142278596 and 142278605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142278641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11860 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (4889196).

Almost surely, 2142278640 is an apocalyptic number.

142278640 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 142278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195567840).

142278640 is an abundant number, since it is smaller than the sum of its proper divisors (248857040).

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

142278640 is a wasteful number, since it uses less digits than its factorization.

142278640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 142278640 is about 11928.0610327077. The cubic root of 142278640 is about 522.0513643227.

The spelling of 142278640 in words is "one hundred forty-two million, two hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 8761 16240 17522 35044 43805 61327 70088 87610 122654 140176 175220 245308 254069 306635 350440 490616 508138 613270 700880 981232 1016276 1226540 1270345 1778483 2032552 2453080 2540690 3556966 4065104 4906160 5081380 7113932 8892415 10162760 14227864 17784830 20325520 28455728 35569660 71139320 142278640