Search a number
-
+
140579920 = 24513135173
BaseRepresentation
bin10000110000100…
…01010001010000
3100210112012101201
420120101101100
5241442024140
621541040544
73324623665
oct1030212120
9323465351
10140579920
1172398858
123b0b6154
13231812b0
1414955a6c
15c51d49a
hex8611450

140579920 has 40 divisors (see below), whose sum is σ = 351993096. Its totient is φ = 51906048.

The previous prime is 140579911. The next prime is 140579921. The reversal of 140579920 is 29975041.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 112954384 = 5256^2 + 10628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-5 number, since 5×1405799205 (a number of 42 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 140579920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140579921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66547 + ... + 68626.

Almost surely, 2140579920 is an apocalyptic number.

140579920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140579920 is an abundant number, since it is smaller than the sum of its proper divisors (211413176).

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

140579920 is a wasteful number, since it uses less digits than its factorization.

140579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135199 (or 135193 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 140579920 is about 11856.6403335852. The cubic root of 140579920 is about 519.9653823109.

The spelling of 140579920 in words is "one hundred forty million, five hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 135173 270346 540692 675865 1081384 1351730 1757249 2162768 2703460 3514498 5406920 7028996 8786245 10813840 14057992 17572490 28115984 35144980 70289960 140579920