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142572160 = 275367607
BaseRepresentation
bin10000111111101…
…11101010000000
3100221021102020101
420133313222000
5242444302120
622051452144
73350562163
oct1037675200
9327242211
10142572160
1173529635
123b8b7054
13236cb033
1414d13ada
15c7b390a
hex87f7a80

142572160 has 64 divisors (see below), whose sum is σ = 342328320. Its totient is φ = 56779776.

The previous prime is 142572127. The next prime is 142572167. The reversal of 142572160 is 61275241.

142572160 is digitally balanced in base 2, 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 (64).

It is not an unprimeable number, because it can be changed into a prime (142572167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234577 + ... + 235183.

It is an arithmetic number, because the mean of its divisors is an integer number (5348880).

Almost surely, 2142572160 is an apocalyptic number.

142572160 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 142572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171164160).

142572160 is an abundant number, since it is smaller than the sum of its proper divisors (199756160).

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

142572160 is an equidigital number, since it uses as much as digits as its factorization.

142572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 142572160 is about 11940.3584535809. The cubic root of 142572160 is about 522.4101140372.

The spelling of 142572160 in words is "one hundred forty-two million, five hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 367 607 640 734 1214 1468 1835 2428 2936 3035 3670 4856 5872 6070 7340 9712 11744 12140 14680 19424 23488 24280 29360 38848 46976 48560 58720 77696 97120 117440 194240 222769 234880 388480 445538 891076 1113845 1782152 2227690 3564304 4455380 7128608 8910760 14257216 17821520 28514432 35643040 71286080 142572160