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142320000 = 27354593
BaseRepresentation
bin10000111101110…
…10000110000000
3100220210121100010
420132322012000
5242413220000
622042224520
73345462054
oct1036720600
9326717303
10142320000
1173377139
123b7b5140
1323640324
1414c89c64
15c763d50
hex87ba180

142320000 has 160 divisors (see below), whose sum is σ = 473192280. Its totient is φ = 37888000.

The previous prime is 142319953. The next prime is 142320011. The reversal of 142320000 is 23241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239704 + ... + 240296.

Almost surely, 2142320000 is an apocalyptic number.

142320000 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 142320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236596140).

142320000 is an abundant number, since it is smaller than the sum of its proper divisors (330872280).

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

142320000 is an frugal number, since it uses more digits than its factorization.

142320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 142320000 is about 11929.7946336054. The cubic root of 142320000 is about 522.1019457089.

Adding to 142320000 its reverse (23241), we get a palindrome (142343241).

The spelling of 142320000 in words is "one hundred forty-two million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 593 600 625 640 750 800 960 1000 1186 1200 1250 1500 1600 1779 1875 1920 2000 2372 2400 2500 2965 3000 3200 3558 3750 4000 4744 4800 5000 5930 6000 7116 7500 8000 8895 9488 9600 10000 11860 12000 14232 14825 15000 16000 17790 18976 20000 23720 24000 28464 29650 30000 35580 37952 40000 44475 47440 48000 56928 59300 60000 71160 74125 75904 80000 88950 94880 113856 118600 120000 142320 148250 177900 189760 222375 227712 237200 240000 284640 296500 355800 370625 379520 444750 474400 569280 593000 711600 741250 889500 948800 1111875 1138560 1186000 1423200 1482500 1779000 1897600 2223750 2372000 2846400 2965000 3558000 4447500 4744000 5692800 5930000 7116000 8895000 9488000 11860000 14232000 17790000 23720000 28464000 35580000 47440000 71160000 142320000