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142368954 = 237132391091
BaseRepresentation
bin10000111110001…
…10000010111010
3100220220002111020
420133012002322
5242421301304
622043243310
73346054560
oct1037060272
9326802436
10142368954
11733aa9a2
123b819536
13236596b0
1414c9da30
15c7735d9
hex87c60ba

142368954 has 64 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 37356480.

The previous prime is 142368953. The next prime is 142368973. The reversal of 142368954 is 459863241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142368953) 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, 129949 + ... + 131039.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2142368954 is an apocalyptic number.

142368954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142368954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

142368954 is an abundant number, since it is smaller than the sum of its proper divisors (209866566).

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

142368954 is a wasteful number, since it uses less digits than its factorization.

142368954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355.

The product of its digits is 207360, while the sum is 42.

The square root of 142368954 is about 11931.8462108762. The cubic root of 142368954 is about 522.1618015471.

The spelling of 142368954 in words is "one hundred forty-two million, three hundred sixty-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 239 273 478 546 717 1091 1434 1673 2182 3107 3273 3346 5019 6214 6546 7637 9321 10038 14183 15274 18642 21749 22911 28366 42549 43498 45822 65247 85098 99281 130494 198562 260749 297843 521498 595686 782247 1564494 1825243 3389737 3650486 5475729 6779474 10169211 10951458 20338422 23728159 47456318 71184477 142368954