Search a number
-
+
140003052 = 22376189307
BaseRepresentation
bin10000101100001…
…00011011101100
3100202102220002020
420112010123230
5241320044202
621520430140
73320002110
oct1026043354
9322386066
10140003052
1172034402
123aa78350
132300b857
1414845740
15c4575bc
hex85846ec

140003052 has 96 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 38776320.

The previous prime is 140003033. The next prime is 140003057. The reversal of 140003052 is 250300041.

It is not an unprimeable number, because it can be changed into a prime (140003057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455883 + ... + 456189.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2140003052 is an apocalyptic number.

140003052 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 140003052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

140003052 is an abundant number, since it is smaller than the sum of its proper divisors (244972308).

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

140003052 is a wasteful number, since it uses less digits than its factorization.

140003052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 140003052 is about 11832.2885360356. The cubic root of 140003052 is about 519.2531833701.

Adding to 140003052 its reverse (250300041), we get a palindrome (390303093).

The spelling of 140003052 in words is "one hundred forty million, three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 89 122 178 183 244 267 307 356 366 427 534 614 623 732 854 921 1068 1228 1246 1281 1708 1842 1869 2149 2492 2562 3684 3738 4298 5124 5429 6447 7476 8596 10858 12894 16287 18727 21716 25788 27323 32574 37454 38003 54646 56181 65148 74908 76006 81969 109292 112362 114009 131089 152012 163938 191261 224724 228018 262178 327876 382522 393267 456036 524356 573783 765044 786534 1147566 1573068 1666703 2295132 3333406 5000109 6666812 10000218 11666921 20000436 23333842 35000763 46667684 70001526 140003052