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142878240 = 25325313317
BaseRepresentation
bin10001000010000…
…10011000100000
3100221211222002200
420201002120200
5243034100430
622102213200
73353305431
oct1041023040
9327758080
10142878240
117371859a
123ba24200
13237a744b
1414d93488
15c824460
hex8842620

142878240 has 144 divisors (see below), whose sum is σ = 490672728. Its totient is φ = 37859328.

The previous prime is 142878223. The next prime is 142878247. The reversal of 142878240 is 42878241.

It can be written as a sum of positive squares in 4 ways, for example, as 30603024 + 112275216 = 5532^2 + 10596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142878195 and 142878204.

It is not an unprimeable number, because it can be changed into a prime (142878247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450562 + ... + 450878.

Almost surely, 2142878240 is an apocalyptic number.

142878240 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 142878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245336364).

142878240 is an abundant number, since it is smaller than the sum of its proper divisors (347794488).

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

142878240 is a wasteful number, since it uses less digits than its factorization.

142878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 142878240 is about 11953.1686175675. The cubic root of 142878240 is about 522.7836909398.

Subtracting from 142878240 its reverse (42878241), we obtain a palindrome (99999999).

The spelling of 142878240 in words is "one hundred forty-two million, eight hundred seventy-eight thousand, two 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 72 80 90 96 120 144 160 180 240 288 313 317 360 480 626 634 720 939 951 1252 1268 1440 1565 1585 1878 1902 2504 2536 2817 2853 3130 3170 3756 3804 4695 4755 5008 5072 5634 5706 6260 6340 7512 7608 9390 9510 10016 10144 11268 11412 12520 12680 14085 14265 15024 15216 18780 19020 22536 22824 25040 25360 28170 28530 30048 30432 37560 38040 45072 45648 50080 50720 56340 57060 75120 76080 90144 91296 99221 112680 114120 150240 152160 198442 225360 228240 297663 396884 450720 456480 496105 595326 793768 892989 992210 1190652 1488315 1587536 1785978 1984420 2381304 2976630 3175072 3571956 3968840 4464945 4762608 5953260 7143912 7937680 8929890 9525216 11906520 14287824 15875360 17859780 23813040 28575648 35719560 47626080 71439120 142878240