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40272080 = 2452343509
BaseRepresentation
bin1001100110100…
…0000011010000
32210210000220112
42121220003100
540302201310
63555100452
7666210212
oct231500320
983700815
1040272080
1120807012
12115a1728
138460644
1454c45b2
153807705
hex26680d0

40272080 has 80 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 15020544.

The previous prime is 40272079. The next prime is 40272137. The reversal of 40272080 is 8027204.

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

It is a super-3 number, since 3×402720803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78866 + ... + 79374.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 240272080 is an apocalyptic number.

40272080 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 40272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

40272080 is an abundant number, since it is smaller than the sum of its proper divisors (59900080).

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

40272080 is a wasteful number, since it uses less digits than its factorization.

40272080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 40272080 is about 6346.0286794183. The cubic root of 40272080 is about 342.7688549127.

Adding to 40272080 its reverse (8027204), we get a palindrome (48299284).

The spelling of 40272080 in words is "forty million, two hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 43 46 80 86 92 115 172 184 215 230 344 368 430 460 509 688 860 920 989 1018 1720 1840 1978 2036 2545 3440 3956 4072 4945 5090 7912 8144 9890 10180 11707 15824 19780 20360 21887 23414 39560 40720 43774 46828 58535 79120 87548 93656 109435 117070 175096 187312 218870 234140 350192 437740 468280 503401 875480 936560 1006802 1750960 2013604 2517005 4027208 5034010 8054416 10068020 20136040 40272080