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142520160 = 2535973061
BaseRepresentation
bin10000111111010…
…10111101100000
3100221011202220110
420133222331200
5242441121120
622050411320
73350254446
oct1037527540
9327152813
10142520160
11734a3562
123b890b40
13236b0473
1414cdcb96
15c7a32e0
hex87eaf60

142520160 has 96 divisors (see below), whose sum is σ = 453714912. Its totient is φ = 37601280.

The previous prime is 142520143. The next prime is 142520171. The reversal of 142520160 is 61025241.

142520160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 45030 + ... + 48090.

It is an arithmetic number, because the mean of its divisors is an integer number (4726197).

Almost surely, 2142520160 is an apocalyptic number.

142520160 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 142520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226857456).

142520160 is an abundant number, since it is smaller than the sum of its proper divisors (311194752).

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

142520160 is a wasteful number, since it uses less digits than its factorization.

142520160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 142520160 is about 11938.1807659291. The cubic root of 142520160 is about 522.3465938538.

The spelling of 142520160 in words is "one hundred forty-two million, five hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3061 3104 3880 4656 5820 6122 7760 9183 9312 11640 12244 15305 15520 18366 23280 24488 30610 36732 45915 46560 48976 61220 73464 91830 97952 122440 146928 183660 244880 293856 296917 367320 489760 593834 734640 890751 1187668 1469280 1484585 1781502 2375336 2969170 3563004 4453755 4750672 5938340 7126008 8907510 9501344 11876680 14252016 17815020 23753360 28504032 35630040 47506720 71260080 142520160