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40114240 = 265671871
BaseRepresentation
bin1001100100000…
…1100001000000
32210111000101121
42121001201000
540232123430
63551442024
7664652065
oct231014100
983430347
1040114240
1120709471
1211526314
13840684a
145482c6c
1537c5a7a
hex2641840

40114240 has 56 divisors (see below), whose sum is σ = 96999552. Its totient is φ = 15797760.

The previous prime is 40114229. The next prime is 40114247. The reversal of 40114240 is 4241104.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40114247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20505 + ... + 22375.

Almost surely, 240114240 is an apocalyptic number.

40114240 is a gapful number since it is divisible by the number (40) 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 40114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48499776).

40114240 is an abundant number, since it is smaller than the sum of its proper divisors (56885312).

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

40114240 is a wasteful number, since it uses less digits than its factorization.

40114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 40114240 is about 6333.5803460602. The cubic root of 40114240 is about 342.3204592948.

Adding to 40114240 its reverse (4241104), we get a palindrome (44355344).

It can be divided in two parts, 401 and 14240, that added together give a palindrome (14641).

The spelling of 40114240 in words is "forty million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 1871 2144 2680 3742 4288 5360 7484 9355 10720 14968 18710 21440 29936 37420 59872 74840 119744 125357 149680 250714 299360 501428 598720 626785 1002856 1253570 2005712 2507140 4011424 5014280 8022848 10028560 20057120 40114240