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142603392 = 2731093407
BaseRepresentation
bin10000111111111…
…11010010000000
3100221100000002010
420133333102000
5243001302032
622052252520
73351052221
oct1037772200
9327300063
10142603392
1173550048
123b911140
132370c309
1414d21248
15c7bcccc
hex87ff480

142603392 has 64 divisors (see below), whose sum is σ = 382377600. Its totient is φ = 47084544.

The previous prime is 142603339. The next prime is 142603399. The reversal of 142603392 is 293306241.

142603392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (142603399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40153 + ... + 43559.

It is an arithmetic number, because the mean of its divisors is an integer number (5974650).

Almost surely, 2142603392 is an apocalyptic number.

142603392 is a gapful number since it is divisible by the number (12) 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 142603392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191188800).

142603392 is an abundant number, since it is smaller than the sum of its proper divisors (239774208).

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

142603392 is a wasteful number, since it uses less digits than its factorization.

142603392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 142603392 is about 11941.6662153989. Note that the first 3 decimals coincide. The cubic root of 142603392 is about 522.4482578128.

The spelling of 142603392 in words is "one hundred forty-two million, six hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3407 3488 5232 6814 6976 10221 10464 13628 13952 20442 20928 27256 40884 41856 54512 81768 109024 163536 218048 327072 371363 436096 654144 742726 1114089 1308288 1485452 2228178 2970904 4456356 5941808 8912712 11883616 17825424 23767232 35650848 47534464 71301696 142603392