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142812720 = 2434522039
BaseRepresentation
bin10001000001100…
…10011000110000
3100221201122020000
420200302120300
5243030001340
622100550000
73352613421
oct1040623060
9327648200
10142812720
1173683346
123b9b2300
132378368b
1414d77648
15c80ed30
hex8832630

142812720 has 100 divisors (see below), whose sum is σ = 496032240. Its totient is φ = 38081664.

The previous prime is 142812707. The next prime is 142812731. The reversal of 142812720 is 27218241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4540 + ... + 17499.

Almost surely, 2142812720 is an apocalyptic number.

142812720 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 142812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248016120).

142812720 is an abundant number, since it is smaller than the sum of its proper divisors (353219520).

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

142812720 is a wasteful number, since it uses less digits than its factorization.

142812720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22064 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 142812720 is about 11950.4276074122. The cubic root of 142812720 is about 522.7037673523.

The spelling of 142812720 in words is "one hundred forty-two million, eight hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 22039 44078 66117 88156 110195 132234 176312 198351 220390 264468 330585 352624 396702 440780 528936 595053 661170 793404 881560 991755 1057872 1190106 1322340 1586808 1763120 1785159 1983510 2380212 2644680 2975265 3173616 3570318 3967020 4760424 5289360 5950530 7140636 7934040 8925795 9520848 11901060 14281272 15868080 17851590 23802120 28562544 35703180 47604240 71406360 142812720