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240255140 = 225294011033
BaseRepresentation
bin11100101001000…
…00000010100100
3121202002020002112
432110200002210
5443001131030
635501300152
75645064206
oct1624400244
9552066075
10240255140
11113688274
1268564658
133aa10008
1423ca0776
151615ba95
hexe5200a4

240255140 has 48 divisors (see below), whose sum is σ = 523741680. Its totient is φ = 92467200.

The previous prime is 240255137. The next prime is 240255151. The reversal of 240255140 is 41552042.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 72863296 + 167391844 = 8536^2 + 12938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232064 + ... + 233096.

It is an arithmetic number, because the mean of its divisors is an integer number (10911285).

Almost surely, 2240255140 is an apocalyptic number.

240255140 is a gapful number since it is divisible by the number (20) 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 240255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261870840).

240255140 is an abundant number, since it is smaller than the sum of its proper divisors (283486540).

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

240255140 is a wasteful number, since it uses less digits than its factorization.

240255140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 240255140 is about 15500.1658055648. The cubic root of 240255140 is about 621.6666396733. Note that the first 4 decimals are identical.

The spelling of 240255140 in words is "two hundred forty million, two hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 401 580 802 1033 1604 2005 2066 4010 4132 5165 8020 10330 11629 20660 23258 29957 46516 58145 59914 116290 119828 149785 232580 299570 414233 599140 828466 1656932 2071165 4142330 8284660 12012757 24025514 48051028 60063785 120127570 240255140