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142478760 = 23351279349
BaseRepresentation
bin10000111111000…
…00110110101000
3100221002200010010
420133200312220
5242433310020
622045451520
73350022654
oct1037406650
9327080103
10142478760
1173475446
123b870ba0
1323697678
1414ccba64
15c795de0
hex87e0da8

142478760 has 64 divisors (see below), whose sum is σ = 430848000. Its totient is φ = 37691136.

The previous prime is 142478719. The next prime is 142478773. The reversal of 142478760 is 67874241.

It is a super-2 number, since 2×1424787602 = 40600394102275200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10566 + ... + 19914.

It is an arithmetic number, because the mean of its divisors is an integer number (6732000).

Almost surely, 2142478760 is an apocalyptic number.

142478760 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 142478760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

142478760 is an abundant number, since it is smaller than the sum of its proper divisors (288369240).

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

142478760 is a wasteful number, since it uses less digits than its factorization.

142478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9490 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 142478760 is about 11936.4467074586. The cubic root of 142478760 is about 522.2960109673.

The spelling of 142478760 in words is "one hundred forty-two million, four hundred seventy-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 9349 15240 18698 28047 37396 46745 56094 74792 93490 112188 140235 186980 224376 280470 373960 560940 1121880 1187323 2374646 3561969 4749292 5936615 7123938 9498584 11873230 14247876 17809845 23746460 28495752 35619690 47492920 71239380 142478760