Search a number
-
+
240200128 = 2671928219
BaseRepresentation
bin11100101000100…
…10100111000000
3121201222102122001
432110102213000
5442442401003
635500153344
75644444630
oct1624224700
9551872561
10240200128
1111364aa03
1268538854
133a9c0c6c
1423c886c0
151614a61d
hexe5129c0

240200128 has 56 divisors (see below), whose sum is σ = 573430400. Its totient is φ = 97521408.

The previous prime is 240200117. The next prime is 240200131. The reversal of 240200128 is 821002042.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2402001282 = 115392202982432768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5598 + ... + 22621.

Almost surely, 2240200128 is an apocalyptic number.

240200128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

240200128 is an abundant number, since it is smaller than the sum of its proper divisors (333230272).

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

240200128 is a wasteful number, since it uses less digits than its factorization.

240200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28257 (or 28247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 240200128 is about 15498.3911423089. The cubic root of 240200128 is about 621.6191877080.

The spelling of 240200128 in words is "two hundred forty million, two hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 28219 56438 112876 197533 225752 395066 451504 536161 790132 903008 1072322 1580264 1806016 2144644 3160528 3753127 4289288 6321056 7506254 8578576 12642112 15012508 17157152 30025016 34314304 60050032 120100064 240200128