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142460120 = 235111991627
BaseRepresentation
bin10000111110111…
…00010011011000
3100221001201112202
420133130103120
5242432210440
622045225332
73346614425
oct1037342330
9327051482
10142460120
1173462440
123b862248
132368c03a
1414cc4d4c
15c790615
hex87dc4d8

142460120 has 64 divisors (see below), whose sum is σ = 351648000. Its totient is φ = 51511680.

The previous prime is 142460113. The next prime is 142460141. The reversal of 142460120 is 21064241.

142460120 is digitally balanced in base 2 and base 3, because in such bases 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 142460092 and 142460101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86747 + ... + 88373.

It is an arithmetic number, because the mean of its divisors is an integer number (5494500).

Almost surely, 2142460120 is an apocalyptic number.

142460120 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 142460120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175824000).

142460120 is an abundant number, since it is smaller than the sum of its proper divisors (209187880).

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

142460120 is a wasteful number, since it uses less digits than its factorization.

142460120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 142460120 is about 11935.6658800421. The cubic root of 142460120 is about 522.2732332512.

The spelling of 142460120 in words is "one hundred forty-two million, four hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 199 220 398 440 796 995 1592 1627 1990 2189 3254 3980 4378 6508 7960 8135 8756 10945 13016 16270 17512 17897 21890 32540 35794 43780 65080 71588 87560 89485 143176 178970 323773 357940 647546 715880 1295092 1618865 2590184 3237730 3561503 6475460 7123006 12950920 14246012 17807515 28492024 35615030 71230060 142460120