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142005248 = 2107111801
BaseRepresentation
bin10000111011011…
…01010000000000
3100220012121120122
420131231100000
5242323131443
622031355412
73343011320
oct1035552000
9326177518
10142005248
1173181710
123b682b68
132355cc98
1414c07280
15c700968
hex876d400

142005248 has 88 divisors (see below), whose sum is σ = 354114624. Its totient is φ = 55296000.

The previous prime is 142005247. The next prime is 142005251. The reversal of 142005248 is 842500241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142005247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77948 + ... + 79748.

Almost surely, 2142005248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177057312).

142005248 is an abundant number, since it is smaller than the sum of its proper divisors (212109376).

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

142005248 is a wasteful number, since it uses less digits than its factorization.

142005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 142005248 is about 11916.5954869669. The cubic root of 142005248 is about 521.7167716280.

Adding to 142005248 its reverse (842500241), we get a palindrome (984505489).

The spelling of 142005248 in words is "one hundred forty-two million, five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 1801 2464 2816 3584 3602 4928 5632 7168 7204 9856 11264 12607 14408 19712 19811 25214 28816 39424 39622 50428 57632 78848 79244 100856 115264 138677 158488 201712 230528 277354 316976 403424 461056 554708 633952 806848 922112 1109416 1267904 1613696 1844224 2218832 2535808 3227392 4437664 5071616 6454784 8875328 10143232 12909568 17750656 20286464 35501312 71002624 142005248