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142399760 = 24517310289
BaseRepresentation
bin10000111110011…
…01100100010000
3100220221122202012
420133031210100
5242423243020
622044042052
73346243436
oct1037154420
9326848665
10142399760
1173421058
123b833328
132366a719
1414caad56
15c77c7c5
hex87cd910

142399760 has 40 divisors (see below), whose sum is σ = 333025560. Its totient is φ = 56625152.

The previous prime is 142399727. The next prime is 142399793. The reversal of 142399760 is 67993241.

It is an interprime number because it is at equal distance from previous prime (142399727) and next prime (142399793).

It can be written as a sum of positive squares in 4 ways, for example, as 71301136 + 71098624 = 8444^2 + 8432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8696 + ... + 18984.

It is an arithmetic number, because the mean of its divisors is an integer number (8325639).

Almost surely, 2142399760 is an apocalyptic number.

142399760 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 142399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166512780).

142399760 is an abundant number, since it is smaller than the sum of its proper divisors (190625800).

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

142399760 is a wasteful number, since it uses less digits than its factorization.

142399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 142399760 is about 11933.1370561140. The cubic root of 142399760 is about 522.1994608727.

The spelling of 142399760 in words is "one hundred forty-two million, three hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 10289 13840 20578 41156 51445 82312 102890 164624 205780 411560 823120 1779997 3559994 7119988 8899985 14239976 17799970 28479952 35599940 71199880 142399760