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142260720 = 24357212097
BaseRepresentation
bin10000111101010…
…11100111110000
3100220200121000120
420132223213300
5242404320340
622041050240
73345124200
oct1036534760
9326617016
10142260720
1173336648
123b786980
132361c354
1414c72400
15c7514d0
hex87ab9f0

142260720 has 120 divisors (see below), whose sum is σ = 513051984. Its totient is φ = 32514048.

The previous prime is 142260719. The next prime is 142260731. The reversal of 142260720 is 27062241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1422607202 = 40476224909836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5712 + ... + 17808.

Almost surely, 2142260720 is an apocalyptic number.

142260720 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 142260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256525992).

142260720 is an abundant number, since it is smaller than the sum of its proper divisors (370791264).

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

142260720 is a wasteful number, since it uses less digits than its factorization.

142260720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 142260720 is about 11927.3098391884. The cubic root of 142260720 is about 522.0294459395.

The spelling of 142260720 in words is "one hundred forty-two million, two hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 12097 24194 36291 48388 60485 72582 84679 96776 120970 145164 169358 181455 193552 241940 254037 290328 338716 362910 423395 483880 508074 580656 592753 677432 725820 846790 967760 1016148 1185506 1270185 1354864 1451640 1693580 1778259 2032296 2371012 2540370 2903280 2963765 3387160 3556518 4064592 4742024 5080740 5927530 6774320 7113036 8891295 9484048 10161480 11855060 14226072 17782590 20322960 23710120 28452144 35565180 47420240 71130360 142260720