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142278100 = 225217127659
BaseRepresentation
bin10000111101011…
…11110111010100
3100220201110212021
420132233313110
5242410344400
622041302524
73345225646
oct1036576724
9326643767
10142278100
1173348708
123b794a44
1323627233
1414c78896
15c75671a
hex87afdd4

142278100 has 72 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 53061120.

The previous prime is 142278091. The next prime is 142278109. The reversal of 142278100 is 1872241.

It is a happy number.

142278100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142278091) and next prime (142278109).

It is a super-2 number, since 2×1422781002 = 40486115479220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142278109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215571 + ... + 216229.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2142278100 is an apocalyptic number.

142278100 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 142278100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

142278100 is an abundant number, since it is smaller than the sum of its proper divisors (187700780).

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

142278100 is a wasteful number, since it uses less digits than its factorization.

142278100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 142278100 is about 11928.0383969872. The cubic root of 142278100 is about 522.0507038626.

The spelling of 142278100 in words is "one hundred forty-two million, two hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 127 170 254 340 425 508 635 659 850 1270 1318 1700 2159 2540 2636 3175 3295 4318 6350 6590 8636 10795 11203 12700 13180 16475 21590 22406 32950 43180 44812 53975 56015 65900 83693 107950 112030 167386 215900 224060 280075 334772 418465 560150 836930 1120300 1422781 1673860 2092325 2845562 4184650 5691124 7113905 8369300 14227810 28455620 35569525 71139050 142278100