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142183272 = 233711471637
BaseRepresentation
bin10000111100110…
…00101101101000
3100220112122210010
420132120231220
5242344331042
622035251520
73344352330
oct1036305550
9326478703
10142183272
1173293440
123b749ba0
13235c301a
1414c520c0
15c73859c
hex8798b68

142183272 has 128 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 36122880.

The previous prime is 142183247. The next prime is 142183277. The reversal of 142183272 is 272381241.

142183272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142183277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86038 + ... + 87674.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2142183272 is an apocalyptic number.

142183272 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 142183272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

142183272 is an abundant number, since it is smaller than the sum of its proper divisors (310690968).

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

142183272 is a wasteful number, since it uses less digits than its factorization.

142183272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1707 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 142183272 is about 11924.0627304623. The cubic root of 142183272 is about 521.9346962537.

The spelling of 142183272 in words is "one hundred forty-two million, one hundred eighty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 84 88 94 132 141 154 168 188 231 264 282 308 329 376 462 517 564 616 658 924 987 1034 1128 1316 1551 1637 1848 1974 2068 2632 3102 3274 3619 3948 4136 4911 6204 6548 7238 7896 9822 10857 11459 12408 13096 14476 18007 19644 21714 22918 28952 34377 36014 39288 43428 45836 54021 68754 72028 76939 86856 91672 108042 126049 137508 144056 153878 216084 230817 252098 275016 307756 378147 432168 461634 504196 538573 615512 756294 846329 923268 1008392 1077146 1512588 1615719 1692658 1846536 2154292 2538987 3025176 3231438 3385316 4308584 5077974 5924303 6462876 6770632 10155948 11848606 12925752 17772909 20311896 23697212 35545818 47394424 71091636 142183272