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142204410 = 23454192
BaseRepresentation
bin10000111100111…
…01110111111010
3100220120201210000
420132131313322
5242401020120
622035533430
73344501055
oct1036356772
9326521700
10142204410
11732a8307
123b75a276
13235cc82a
1414c59a9c
15c73e990
hex879ddfa

142204410 has 60 divisors (see below), whose sum is σ = 383286618. Its totient is φ = 37830672.

The previous prime is 142204399. The next prime is 142204411. The reversal of 142204410 is 14402241.

142204410 is a `hidden beast` number, since 1 + 4 + 220 + 441 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127983969 + 14220441 = 11313^2 + 3771^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142204411) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 339181 + ... + 339599.

Almost surely, 2142204410 is an apocalyptic number.

142204410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142204410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191643309).

142204410 is an abundant number, since it is smaller than the sum of its proper divisors (241082208).

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

142204410 is an frugal number, since it uses more digits than its factorization.

142204410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142204410 is about 11924.9490564950. The cubic root of 142204410 is about 521.9605598422.

Adding to 142204410 its reverse (14402241), we get a palindrome (156606651).

The spelling of 142204410 in words is "one hundred forty-two million, two hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 419 810 838 1257 2095 2514 3771 4190 6285 7542 11313 12570 18855 22626 33939 37710 56565 67878 113130 169695 175561 339390 351122 526683 877805 1053366 1580049 1755610 2633415 3160098 4740147 5266830 7900245 9480294 14220441 15800490 23700735 28440882 47401470 71102205 142204410