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142402680 = 23325756509
BaseRepresentation
bin10000111110011…
…10010001111000
3100220221210202100
420133032101320
5242423341210
622044103400
73346255110
oct1037162170
9326853670
10142402680
1173423272
123b834b60
132366bb54
1414cac040
15c77d5c0
hex87ce478

142402680 has 96 divisors (see below), whose sum is σ = 528933600. Its totient is φ = 32548608.

The previous prime is 142402661. The next prime is 142402681. The reversal of 142402680 is 86204241.

142402680 is digitally balanced in base 2, 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 (142402681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25735 + ... + 30774.

It is an arithmetic number, because the mean of its divisors is an integer number (5509725).

Almost surely, 2142402680 is an apocalyptic number.

142402680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142402680 is an abundant number, since it is smaller than the sum of its proper divisors (386530920).

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

142402680 is a wasteful number, since it uses less digits than its factorization.

142402680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56533 (or 56526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 142402680 is about 11933.2594038678. The cubic root of 142402680 is about 522.2030301952.

The spelling of 142402680 in words is "one hundred forty-two million, four hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 56509 113018 169527 226036 282545 339054 395563 452072 508581 565090 678108 791126 847635 1017162 1130180 1186689 1356216 1582252 1695270 1977815 2034324 2260360 2373378 2542905 3164504 3390540 3560067 3955630 4068648 4746756 5085810 5933445 6781080 7120134 7911260 9493512 10171620 11866890 14240268 15822520 17800335 20343240 23733780 28480536 35600670 47467560 71201340 142402680