Search a number
-
+
140366772 = 223272136121
BaseRepresentation
bin10000101110111…
…01001110110100
3100210010101000100
420113131032310
5241413214042
621532314100
73323045400
oct1027351664
9323111010
10140366772
11722626a7
123b012930
1323108280
14148dc100
15c4ca24c
hex85dd3b4

140366772 has 108 divisors (see below), whose sum is σ = 444567396. Its totient is φ = 37013760.

The previous prime is 140366771. The next prime is 140366783. The reversal of 140366772 is 277663041.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 122014116 = 4284^2 + 11046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140366771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19872 + ... + 25992.

Almost surely, 2140366772 is an apocalyptic number.

140366772 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 140366772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222283698).

140366772 is an abundant number, since it is smaller than the sum of its proper divisors (304200624).

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

140366772 is a wasteful number, since it uses less digits than its factorization.

140366772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 140366772 is about 11847.6483742555. The cubic root of 140366772 is about 519.7024579852.

The spelling of 140366772 in words is "one hundred forty million, three hundred sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 6121 7644 11466 12242 18363 22932 24484 36726 42847 55089 73452 79573 85694 110178 128541 159146 171388 220356 238719 257082 299929 318292 385623 477438 514164 557011 599858 716157 771246 899787 954876 1114022 1199716 1432314 1542492 1671033 1799574 2228044 2699361 2864628 3342066 3599148 3899077 5013099 5398722 6684132 7798154 10026198 10797444 11697231 15596308 20052396 23394462 35091693 46788924 70183386 140366772