Search a number
-
+
141029532 = 223371011847
BaseRepresentation
bin10000110011111…
…11000010011100
3100211101001011000
420121333002130
5242100421112
621554430300
73331505550
oct1031770234
9324331130
10141029532
1172675636
123b292390
13232aab37
1414a31860
15c5ab7dc
hex867f09c

141029532 has 96 divisors (see below), whose sum is σ = 422231040. Its totient is φ = 39873600.

The previous prime is 141029519. The next prime is 141029549. The reversal of 141029532 is 235920141.

141029532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410295322 = 39778657792278048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141029496 and 141029505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75433 + ... + 77279.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 2141029532 is an apocalyptic number.

141029532 is a gapful number since it is divisible by the number (12) 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 141029532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211115520).

141029532 is an abundant number, since it is smaller than the sum of its proper divisors (281201508).

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

141029532 is a wasteful number, since it uses less digits than its factorization.

141029532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 141029532 is about 11875.5855434585. The cubic root of 141029532 is about 520.5191216223.

Adding to 141029532 its reverse (235920141), we get a palindrome (376949673).

The spelling of 141029532 in words is "one hundred forty-one million, twenty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 1847 2121 2727 2828 3636 3694 4242 5454 5541 6363 7388 8484 10908 11082 12726 12929 16623 19089 22164 25452 25858 33246 38178 38787 49869 51716 66492 76356 77574 99738 116361 155148 186547 199476 232722 349083 373094 465444 559641 698166 746188 1119282 1305829 1396332 1678923 2238564 2611658 3357846 3917487 5036769 5223316 6715692 7834974 10073538 11752461 15669948 20147076 23504922 35257383 47009844 70514766 141029532