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40064240 = 2451789331
BaseRepresentation
bin1001100011010…
…1010011110000
32210101110210202
42120311103300
540224023430
63550414332
7664353236
oct230652360
983343722
1040064240
1120684947
12115013a8
1383b9b68
14546c956
1537b5d45
hex26354f0

40064240 has 80 divisors (see below), whose sum is σ = 100038240. Its totient is φ = 14868480.

The previous prime is 40064239. The next prime is 40064249. The reversal of 40064240 is 4246004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40064249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120875 + ... + 121205.

It is an arithmetic number, because the mean of its divisors is an integer number (1250478).

Almost surely, 240064240 is an apocalyptic number.

40064240 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 40064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50019120).

40064240 is an abundant number, since it is smaller than the sum of its proper divisors (59974000).

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

40064240 is a wasteful number, since it uses less digits than its factorization.

40064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40064240 is about 6329.6319008296. The cubic root of 40064240 is about 342.1781728378.

It can be divided in two parts, 40064 and 240, that added together give a palindrome (40304).

The spelling of 40064240 in words is "forty million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 272 331 340 356 445 662 680 712 890 1324 1360 1424 1513 1655 1780 2648 3026 3310 3560 5296 5627 6052 6620 7120 7565 11254 12104 13240 15130 22508 24208 26480 28135 29459 30260 45016 56270 58918 60520 90032 112540 117836 121040 147295 225080 235672 294590 450160 471344 500803 589180 1001606 1178360 2003212 2356720 2504015 4006424 5008030 8012848 10016060 20032120 40064240