Search a number
-
+
141152752 = 24131016719
BaseRepresentation
bin10000110100111…
…01000111110000
3100211121022011201
420122131013300
5242113342002
622001220544
73332531026
oct1032350760
9324538151
10141152752
117274a174
123b331754
1323321c50
1414a64716
15c5d3087
hex869d1f0

141152752 has 40 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 64492800.

The previous prime is 141152749. The next prime is 141152761. The reversal of 141152752 is 257251141.

It is a super-3 number, since 3×1411527523 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141152752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17649 + ... + 24367.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2141152752 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 141152752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

141152752 is an abundant number, since it is smaller than the sum of its proper divisors (156328208).

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

141152752 is a wasteful number, since it uses less digits than its factorization.

141152752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6835 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 141152752 is about 11880.7723654651. The cubic root of 141152752 is about 520.6706730851.

The spelling of 141152752 in words is "one hundred forty-one million, one hundred fifty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 2626 5252 6719 10504 13438 21008 26876 53752 87347 107504 174694 349388 678619 698776 1357238 1397552 2714476 5428952 8822047 10857904 17644094 35288188 70576376 141152752