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40080640 = 285173181
BaseRepresentation
bin1001100011100…
…1010100000000
32210102022022011
42120321110000
540230040030
63551022304
7664452115
oct230712400
983368264
1040080640
11206961a6
121150a994
1383c4472
14547490c
1537bab2a
hex2639500

40080640 has 72 divisors (see below), whose sum is σ = 97094088. Its totient is φ = 15851520.

The previous prime is 40080637. The next prime is 40080641. The reversal of 40080640 is 4608004.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 38142976 = 1392^2 + 6176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40080641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221350 + ... + 221530.

It is an arithmetic number, because the mean of its divisors is an integer number (1348529).

Almost surely, 240080640 is an apocalyptic number.

40080640 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 40080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547044).

40080640 is an abundant number, since it is smaller than the sum of its proper divisors (57013448).

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

40080640 is a wasteful number, since it uses less digits than its factorization.

40080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 40080640 is about 6330.9272622579. The cubic root of 40080640 is about 342.2248558358.

Adding to 40080640 its reverse (4608004), we get a palindrome (44688644).

The spelling of 40080640 in words is "forty million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 181 256 320 346 362 640 692 724 865 905 1280 1384 1448 1730 1810 2768 2896 3460 3620 5536 5792 6920 7240 11072 11584 13840 14480 22144 23168 27680 28960 31313 44288 46336 55360 57920 62626 110720 115840 125252 156565 221440 231680 250504 313130 501008 626260 1002016 1252520 2004032 2505040 4008064 5010080 8016128 10020160 20040320 40080640