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142041360 = 24353171867
BaseRepresentation
bin10000111011101…
…10000100010000
3100220021110010010
420131312010100
5242330310420
622032234520
73343221516
oct1035660420
9326243103
10142041360
11731a685a
123b69ba40
1323573556
1414c164b6
15c70b4e0
hex8776110

142041360 has 80 divisors (see below), whose sum is σ = 441953856. Its totient is φ = 37737984.

The previous prime is 142041337. The next prime is 142041371. The reversal of 142041360 is 63140241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 75147 + ... + 77013.

Almost surely, 2142041360 is an apocalyptic number.

142041360 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 142041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220976928).

142041360 is an abundant number, since it is smaller than the sum of its proper divisors (299912496).

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

142041360 is a wasteful number, since it uses less digits than its factorization.

142041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 142041360 is about 11918.1105885119. The cubic root of 142041360 is about 521.7609921516.

The spelling of 142041360 in words is "one hundred forty-two million, forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 317 634 951 1268 1585 1867 1902 2536 3170 3734 3804 4755 5072 5601 6340 7468 7608 9335 9510 11202 12680 14936 15216 18670 19020 22404 25360 28005 29872 37340 38040 44808 56010 74680 76080 89616 112020 149360 224040 448080 591839 1183678 1775517 2367356 2959195 3551034 4734712 5918390 7102068 8877585 9469424 11836780 14204136 17755170 23673560 28408272 35510340 47347120 71020680 142041360