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142511120 = 24516710667
BaseRepresentation
bin10000111111010…
…00110000010000
3100221011022111122
420133220300100
5242440323440
622050301412
73350216213
oct1037506020
9327138448
10142511120
1173497794
123b887868
13236a930b
1414cd977a
15c7a07b5
hex87e8c10

142511120 has 40 divisors (see below), whose sum is σ = 333353664. Its totient is φ = 56657792.

The previous prime is 142511113. The next prime is 142511147. The reversal of 142511120 is 21115241.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8027 + ... + 18693.

Almost surely, 2142511120 is an apocalyptic number.

142511120 is a gapful number since it is divisible by the number (10) 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 142511120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166676832).

142511120 is an abundant number, since it is smaller than the sum of its proper divisors (190842544).

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

142511120 is a wasteful number, since it uses less digits than its factorization.

142511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 142511120 is about 11937.8021427732. The cubic root of 142511120 is about 522.3355495378.

Adding to 142511120 its reverse (21115241), we get a palindrome (163626361).

The spelling of 142511120 in words is "one hundred forty-two million, five hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 10667 13360 21334 42668 53335 85336 106670 170672 213340 426680 853360 1781389 3562778 7125556 8906945 14251112 17813890 28502224 35627780 71255560 142511120