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240064136 = 23135397449
BaseRepresentation
bin11100100111100…
…01011010001000
3121201201112002022
432103301122020
5442424023021
635453224012
75643340304
oct1623613210
9551645068
10240064136
11113567814
1268492008
133a9740b0
1423c50d04
15161201ab
hexe4f1688

240064136 has 64 divisors (see below), whose sum is σ = 500094000. Its totient is φ = 107347968.

The previous prime is 240064127. The next prime is 240064159. The reversal of 240064136 is 631460042.

It can be written as a sum of positive squares in 8 ways, for example, as 107952100 + 132112036 = 10390^2 + 11494^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534440 + ... + 534888.

Almost surely, 2240064136 is an apocalyptic number.

240064136 is a gapful number since it is divisible by the number (26) 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 240064136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250047000).

240064136 is an abundant number, since it is smaller than the sum of its proper divisors (260029864).

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

240064136 is a wasteful number, since it uses less digits than its factorization.

240064136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 240064136 is about 15494.0032270553. The cubic root of 240064136 is about 621.5018533338.

The spelling of 240064136 in words is "two hundred forty million, sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 53 97 104 106 194 212 388 424 449 689 776 898 1261 1378 1796 2522 2756 3592 5044 5141 5512 5837 10088 10282 11674 20564 23348 23797 41128 43553 46696 47594 66833 87106 95188 133666 174212 190376 267332 309361 348424 534664 566189 618722 1132378 1237444 2264756 2308309 2474888 4529512 4616618 9233236 18466472 30008017 60016034 120032068 240064136