Search a number
-
+
140524002 = 23237257821
BaseRepresentation
bin10000110000000…
…11100111100010
3100210102100200200
420120003213202
5241433232002
621535530030
73324301653
oct1030034742
9323370620
10140524002
117235a843
123b089916
13231619c8
141493d52a
15c50bb1c
hex86039e2

140524002 has 48 divisors (see below), whose sum is σ = 314296632. Its totient is φ = 45342720.

The previous prime is 140524001. The next prime is 140524003. The reversal of 140524002 is 200425041.

140524002 is a `hidden beast` number, since 140 + 524 + 0 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (140524001) and next prime (140524003).

It can be written as a sum of positive squares in 4 ways, for example, as 140209281 + 314721 = 11841^2 + 561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (140524001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 170752 + ... + 171572.

Almost surely, 2140524002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140524002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157148316).

140524002 is an abundant number, since it is smaller than the sum of its proper divisors (173772630).

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

140524002 is a wasteful number, since it uses less digits than its factorization.

140524002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140524002 is about 11854.2820111553. The cubic root of 140524002 is about 519.8964315433.

Adding to 140524002 its reverse (200425041), we get a palindrome (340949043).

The spelling of 140524002 in words is "one hundred forty million, five hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 257 333 514 666 771 821 1542 1642 2313 2463 4626 4926 7389 9509 14778 19018 28527 30377 57054 60754 85581 91131 171162 182262 210997 273393 421994 546786 632991 1265982 1898973 3797946 7806889 15613778 23420667 46841334 70262001 140524002