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142958160 = 24325198553
BaseRepresentation
bin10001000010101…
…01111001010000
3100222000000201200
420201111321100
5243044130120
622104031200
73354060432
oct1041257120
9328000650
10142958160
1173772644
123ba62500
1323804937
1414db4652
15c83ce90
hex8855e50

142958160 has 60 divisors (see below), whose sum is σ = 480103572. Its totient is φ = 38121984.

The previous prime is 142958159. The next prime is 142958177. The reversal of 142958160 is 61859241.

142958160 is a `hidden beast` number, since 14 + 2 + 9 + 581 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 41835024 = 10056^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98557 + ... + 99996.

Almost surely, 2142958160 is an apocalyptic number.

142958160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142958160 is an abundant number, since it is smaller than the sum of its proper divisors (337145412).

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

142958160 is a wasteful number, since it uses less digits than its factorization.

142958160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198572 (or 198563 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 142958160 is about 11956.5111968333. The cubic root of 142958160 is about 522.8811470788.

The spelling of 142958160 in words is "one hundred forty-two million, nine hundred fifty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 198553 397106 595659 794212 992765 1191318 1588424 1786977 1985530 2382636 2978295 3176848 3573954 3971060 4765272 5956590 7147908 7942120 8934885 9530544 11913180 14295816 15884240 17869770 23826360 28591632 35739540 47652720 71479080 142958160