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142204000 = 255373487
BaseRepresentation
bin10000111100111…
…01110001100000
3100220120201012211
420132131301200
5242401012000
622035531504
73344466631
oct1036356140
9326521184
10142204000
11732a7a74
123b759b94
13235cc5a3
1414c59888
15c73e7ba
hex879dc60

142204000 has 96 divisors (see below), whose sum is σ = 354908736. Its totient is φ = 55987200.

The previous prime is 142203979. The next prime is 142204001. The reversal of 142204000 is 402241.

142204000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142204001) by changing a digit.

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, 291757 + ... + 292243.

It is an arithmetic number, because the mean of its divisors is an integer number (3696966).

Almost surely, 2142204000 is an apocalyptic number.

142204000 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 142204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177454368).

142204000 is an abundant number, since it is smaller than the sum of its proper divisors (212704736).

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

142204000 is an equidigital number, since it uses as much as digits as its factorization.

142204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 142204000 is about 11924.9318656334. The cubic root of 142204000 is about 521.9600582074.

Adding to 142204000 its reverse (402241), we get a palindrome (142606241).

The spelling of 142204000 in words is "one hundred forty-two million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 487 500 584 730 800 974 1000 1168 1460 1825 1948 2000 2336 2435 2920 3650 3896 4000 4870 5840 7300 7792 9125 9740 11680 12175 14600 15584 18250 19480 24350 29200 35551 36500 38960 48700 58400 60875 71102 73000 77920 97400 121750 142204 146000 177755 194800 243500 284408 292000 355510 389600 487000 568816 711020 888775 974000 1137632 1422040 1777550 1948000 2844080 3555100 4443875 5688160 7110200 8887750 14220400 17775500 28440800 35551000 71102000 142204000