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142007528 = 231317312591
BaseRepresentation
bin10000111011011…
…01110011101000
3100220012201201002
420131231303220
5242323220103
622031414132
73343021055
oct1035556350
9326181632
10142007528
11731833a3
123b684348
1323561030
1414c0802c
15c701488
hex876dce8

142007528 has 64 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 59673600.

The previous prime is 142007527. The next prime is 142007531. The reversal of 142007528 is 825700241.

It is a super-2 number, since 2×1420075282 = 40332276017341568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142007528.

It is not an unprimeable number, because it can be changed into a prime (142007527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53513 + ... + 56103.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2142007528 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 142007528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

142007528 is an abundant number, since it is smaller than the sum of its proper divisors (171520792).

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

142007528 is a wasteful number, since it uses less digits than its factorization.

142007528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 142007528 is about 11916.6911514900. The cubic root of 142007528 is about 521.7195637968.

Adding to 142007528 its reverse (825700241), we get a palindrome (967707769).

The spelling of 142007528 in words is "one hundred forty-two million, seven thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 1054 1612 1768 2108 2591 3224 4216 5182 6851 10364 13702 20728 27404 33683 44047 54808 67366 80321 88094 134732 160642 176188 269464 321284 352376 572611 642568 1044173 1145222 1365457 2088346 2290444 2730914 4176692 4580888 5461828 8353384 10923656 17750941 35501882 71003764 142007528