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40090720 = 255331757
BaseRepresentation
bin1001100011101…
…1110001100000
32210102211010111
42120323301200
540230400340
63551141104
7664523365
oct230736140
983384114
1040090720
11206a282a
1211514794
1383c8c27
14547846c
1537bdaea
hex263bc60

40090720 has 48 divisors (see below), whose sum is σ = 95125968. Its totient is φ = 15966720.

The previous prime is 40090693. The next prime is 40090727. The reversal of 40090720 is 2709004.

It is a super-3 number, since 3×400907203 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40090691 and 40090700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40090727) 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, 52582 + ... + 53338.

It is an arithmetic number, because the mean of its divisors is an integer number (1981791).

Almost surely, 240090720 is an apocalyptic number.

40090720 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 40090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47562984).

40090720 is an abundant number, since it is smaller than the sum of its proper divisors (55035248).

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

40090720 is a wasteful number, since it uses less digits than its factorization.

40090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 40090720 is about 6331.7233041250. The cubic root of 40090720 is about 342.2535424818.

Adding to 40090720 its reverse (2709004), we get a palindrome (42799724).

The spelling of 40090720 in words is "forty million, ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 331 662 757 1324 1514 1655 2648 3028 3310 3785 5296 6056 6620 7570 10592 12112 13240 15140 24224 26480 30280 52960 60560 121120 250567 501134 1002268 1252835 2004536 2505670 4009072 5011340 8018144 10022680 20045360 40090720