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142002120 = 233513227401
BaseRepresentation
bin10000111011011…
…00011111001000
3100220012110021210
420131230133020
5242323031440
622031333120
73342666231
oct1035543710
9326173253
10142002120
117317a327
123b6811a0
132355b730
1414c06088
15c6eea80
hex876c7c8

142002120 has 128 divisors (see below), whose sum is σ = 461946240. Its totient is φ = 34713600.

The previous prime is 142002109. The next prime is 142002121. The reversal of 142002120 is 21200241.

142002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 142002096 and 142002105.

It is not an unprimeable number, because it can be changed into a prime (142002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353920 + ... + 354320.

It is an arithmetic number, because the mean of its divisors is an integer number (3608955).

Almost surely, 2142002120 is an apocalyptic number.

142002120 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 142002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230973120).

142002120 is an abundant number, since it is smaller than the sum of its proper divisors (319944120).

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

142002120 is a wasteful number, since it uses less digits than its factorization.

142002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142002120 is about 11916.4642407050. The cubic root of 142002120 is about 521.7129409197.

Adding to 142002120 its reverse (21200241), we get a palindrome (163202361).

The spelling of 142002120 in words is "one hundred forty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 227 260 312 390 401 454 520 681 780 802 908 1135 1203 1362 1560 1604 1816 2005 2270 2406 2724 2951 3208 3405 4010 4540 4812 5213 5448 5902 6015 6810 8020 8853 9080 9624 10426 11804 12030 13620 14755 15639 16040 17706 20852 23608 24060 26065 27240 29510 31278 35412 41704 44265 48120 52130 59020 62556 70824 78195 88530 91027 104260 118040 125112 156390 177060 182054 208520 273081 312780 354120 364108 455135 546162 625560 728216 910270 1092324 1183351 1365405 1820540 2184648 2366702 2730810 3550053 3641080 4733404 5461620 5916755 7100106 9466808 10923240 11833510 14200212 17750265 23667020 28400424 35500530 47334040 71001060 142002120