Search a number
-
+
140132832 = 25371511381
BaseRepresentation
bin10000101101001…
…00000111100000
3100202200111002220
420112210013200
5241333222312
621523311040
73321052350
oct1026440740
9322614086
10140132832
1172112964
123ab1b480
1323055948
141487ab60
15c480c8c
hex85a41e0

140132832 has 96 divisors (see below), whose sum is σ = 423489024. Its totient is φ = 39744000.

The previous prime is 140132831. The next prime is 140132833. The reversal of 140132832 is 238231041.

It is an interprime number because it is at equal distance from previous prime (140132831) and next prime (140132833).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140132831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100782 + ... + 102162.

It is an arithmetic number, because the mean of its divisors is an integer number (4411344).

Almost surely, 2140132832 is an apocalyptic number.

140132832 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 140132832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211744512).

140132832 is an abundant number, since it is smaller than the sum of its proper divisors (283356192).

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

140132832 is a wasteful number, since it uses less digits than its factorization.

140132832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 140132832 is about 11837.7714118832. The cubic root of 140132832 is about 519.4135795549.

Adding to 140132832 its reverse (238231041), we get a palindrome (378363873).

The spelling of 140132832 in words is "one hundred forty million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1381 1812 2114 2416 2762 3171 3624 4143 4228 4832 5524 6342 7248 8286 8456 9667 11048 12684 14496 16572 16912 19334 22096 25368 29001 33144 33824 38668 44192 50736 58002 66288 77336 101472 116004 132576 154672 208531 232008 309344 417062 464016 625593 834124 928032 1251186 1459717 1668248 2502372 2919434 3336496 4379151 5004744 5838868 6672992 8758302 10009488 11677736 17516604 20018976 23355472 35033208 46710944 70066416 140132832