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142941120 = 2635789239
BaseRepresentation
bin10001000010100…
…01101111000000
3100221222011100120
420201101233000
5243043103440
622103420240
73353656650
oct1041215700
9327864316
10142941120
1173760863
123ba54680
13237c9c5a
1414dac360
15c837dd0
hex8851bc0

142941120 has 224 divisors, whose sum is σ = 526694400. Its totient is φ = 32169984.

The previous prime is 142941107. The next prime is 142941131. The reversal of 142941120 is 21149241.

142941120 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597961 + ... + 598199.

Almost surely, 2142941120 is an apocalyptic number.

142941120 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 142941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

142941120 is an abundant number, since it is smaller than the sum of its proper divisors (383753280).

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

142941120 is a wasteful number, since it uses less digits than its factorization.

142941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 142941120 is about 11955.7985931514. The cubic root of 142941120 is about 522.8603711894.

The spelling of 142941120 in words is "one hundred forty-two million, nine hundred forty-one thousand, one hundred twenty".