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142435104 = 2537792683
BaseRepresentation
bin10000111110101…
…10001100100000
3100221000110020020
420133112030200
5242430410404
622044513440
73346451460
oct1037261440
9327013206
10142435104
1173445669
123b84b880
1323680836
1414cb9ba0
15c787ed9
hex87d6320

142435104 has 96 divisors (see below), whose sum is σ = 432875520. Its totient is φ = 40165632.

The previous prime is 142435093. The next prime is 142435127. The reversal of 142435104 is 401534241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51747 + ... + 54429.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2142435104 is an apocalyptic number.

142435104 is a gapful number since it is divisible by the number (14) 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 142435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216437760).

142435104 is an abundant number, since it is smaller than the sum of its proper divisors (290440416).

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

142435104 is a wasteful number, since it uses less digits than its factorization.

142435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 142435104 is about 11934.6178824460. The cubic root of 142435104 is about 522.2426610648.

Adding to 142435104 its reverse (401534241), we get a palindrome (543969345).

The spelling of 142435104 in words is "one hundred forty-two million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 2683 3318 3792 4424 5366 6636 7584 8049 8848 10732 13272 16098 17696 18781 21464 26544 32196 37562 42928 53088 56343 64392 75124 85856 112686 128784 150248 211957 225372 257568 300496 423914 450744 600992 635871 847828 901488 1271742 1483699 1695656 1802976 2543484 2967398 3391312 4451097 5086968 5934796 6782624 8902194 10173936 11869592 17804388 20347872 23739184 35608776 47478368 71217552 142435104