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214030040 = 23572109199
BaseRepresentation
bin11001100000111…
…01011011011000
3112220201212000112
430300131123120
5414242430130
633123223452
75206140200
oct1460353330
9486655015
10214030040
11aa8a5a34
125b817b88
133545a2c3
14205d5400
1513bcb495
hexcc1d6d8

214030040 has 48 divisors (see below), whose sum is σ = 560196000. Its totient is φ = 73381056.

The previous prime is 214030013. The next prime is 214030043. The reversal of 214030040 is 40030412.

214030040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 214029997 and 214030024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214030043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52640 + ... + 56559.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 2214030040 is an apocalyptic number.

214030040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214030040 is an abundant number, since it is smaller than the sum of its proper divisors (346165960).

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

214030040 is a wasteful number, since it uses less digits than its factorization.

214030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109224 (or 109213 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 214030040 is about 14629.7655483606. The cubic root of 214030040 is about 598.1703895096.

Adding to 214030040 its reverse (40030412), we get a palindrome (254060452).

The spelling of 214030040 in words is "two hundred fourteen million, thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 109199 218398 436796 545995 764393 873592 1091990 1528786 2183980 3057572 3821965 4367960 5350751 6115144 7643930 10701502 15287860 21403004 26753755 30575720 42806008 53507510 107015020 214030040