Search a number
-
+
140584240 = 24516310781
BaseRepresentation
bin10000110000100…
…10010100110000
3100210112102022201
420120102110300
5241442143430
621541112544
73324642406
oct1030222460
9323472281
10140584240
11723a1025
123b0b8754
1323183254
1414957476
15c51e8ca
hex8612530

140584240 has 40 divisors (see below), whose sum is σ = 328894128. Its totient is φ = 55883520.

The previous prime is 140584219. The next prime is 140584261. The reversal of 140584240 is 42485041.

140584240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140584219) and next prime (140584261).

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

It is a junction number, because it is equal to n+sod(n) for n = 140584199 and 140584208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7650 + ... + 18430.

Almost surely, 2140584240 is an apocalyptic number.

140584240 is a gapful number since it is divisible by the number (10) 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 140584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164447064).

140584240 is an abundant number, since it is smaller than the sum of its proper divisors (188309888).

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

140584240 is a wasteful number, since it uses less digits than its factorization.

140584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 140584240 is about 11856.8225085813. The cubic root of 140584240 is about 519.9707084092.

The spelling of 140584240 in words is "one hundred forty million, five hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 10781 13040 21562 43124 53905 86248 107810 172496 215620 431240 862480 1757303 3514606 7029212 8786515 14058424 17573030 28116848 35146060 70292120 140584240