Search a number
-
+
140406600 = 23352241971
BaseRepresentation
bin10000101111001…
…10111101001000
3100210012101122110
420113212331020
5241421002400
621533222320
73323302455
oct1027467510
9323171573
10140406600
117228a614
123b0319a0
1323120439
141490c82c
15c4d6e50
hex85e6f48

140406600 has 96 divisors (see below), whose sum is σ = 437516640. Its totient is φ = 37248000.

The previous prime is 140406589. The next prime is 140406619. The reversal of 140406600 is 6604041.

140406600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144115 + ... + 145085.

It is an arithmetic number, because the mean of its divisors is an integer number (4557465).

Almost surely, 2140406600 is an apocalyptic number.

140406600 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 140406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218758320).

140406600 is an abundant number, since it is smaller than the sum of its proper divisors (297110040).

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

140406600 is a wasteful number, since it uses less digits than its factorization.

140406600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 140406600 is about 11849.3290949319. The cubic root of 140406600 is about 519.7516072053.

The spelling of 140406600 in words is "one hundred forty million, four hundred six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 971 1205 1446 1928 1942 2410 2892 2913 3615 3884 4820 4855 5784 5826 6025 7230 7768 9640 9710 11652 12050 14460 14565 18075 19420 23304 24100 24275 28920 29130 36150 38840 48200 48550 58260 72300 72825 97100 116520 144600 145650 194200 234011 291300 468022 582600 702033 936044 1170055 1404066 1872088 2340110 2808132 3510165 4680220 5616264 5850275 7020330 9360440 11700550 14040660 17550825 23401100 28081320 35101650 46802200 70203300 140406600