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142269972 = 2231343127167
BaseRepresentation
bin10000111101011…
…01111000010100
3100220201001201020
420132231320110
5242410114342
622041201140
73345163155
oct1036557024
9326631636
10142269972
1173342599
123b7901b0
1323623620
1414c7592c
15c7540ec
hex87ade14

142269972 has 96 divisors (see below), whose sum is σ = 370900992. Its totient is φ = 42166656.

The previous prime is 142269947. The next prime is 142269977. The reversal of 142269972 is 279962241.

142269972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142269977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851833 + ... + 851999.

It is an arithmetic number, because the mean of its divisors is an integer number (3863552).

Almost surely, 2142269972 is an apocalyptic number.

142269972 is a gapful number since it is divisible by the number (12) 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 142269972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185450496).

142269972 is an abundant number, since it is smaller than the sum of its proper divisors (228631020).

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

142269972 is a wasteful number, since it uses less digits than its factorization.

142269972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 142269972 is about 11927.6976822855. The cubic root of 142269972 is about 522.0407625131.

The spelling of 142269972 in words is "one hundred forty-two million, two hundred sixty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 127 129 156 167 172 254 258 334 381 501 508 516 559 668 762 1002 1118 1524 1651 1677 2004 2171 2236 3302 3354 4342 4953 5461 6513 6604 6708 7181 8684 9906 10922 13026 14362 16383 19812 21209 21543 21844 26052 28724 32766 42418 43086 63627 65532 70993 84836 86172 93353 127254 141986 186706 212979 254508 275717 280059 283972 373412 425958 551434 560118 827151 851916 911987 1102868 1120236 1654302 1823974 2735961 3308604 3647948 5471922 10943844 11855831 23711662 35567493 47423324 71134986 142269972