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40804680 = 23357311567
BaseRepresentation
bin1001101110101…
…0000101001000
32211210002111110
42123222011020
540421222210
64014330320
71003556040
oct233520510
984702443
1040804680
1121040184
12117b99a0
1385b8ba7
1455c2720
1538b0420
hex26ea148

40804680 has 128 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 9020160.

The previous prime is 40804651. The next prime is 40804681. The reversal of 40804680 is 8640804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40804681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25257 + ... + 26823.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 240804680 is an apocalyptic number.

40804680 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 40804680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

40804680 is an abundant number, since it is smaller than the sum of its proper divisors (103702200).

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

40804680 is a wasteful number, since it uses less digits than its factorization.

40804680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40804680 is about 6387.8540997740. The cubic root of 40804680 is about 344.2732865291.

The spelling of 40804680 in words is "forty million, eight hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1567 1736 1860 2170 2604 3134 3255 3720 4340 4701 5208 6268 6510 7835 8680 9402 10969 12536 13020 15670 18804 21938 23505 26040 31340 32907 37608 43876 47010 48577 54845 62680 65814 87752 94020 97154 109690 131628 145731 164535 188040 194308 219380 242885 263256 291462 329070 340039 388616 438760 485770 582924 658140 680078 728655 971540 1020117 1165848 1316280 1360156 1457310 1700195 1943080 2040234 2720312 2914620 3400390 4080468 5100585 5829240 6800780 8160936 10201170 13601560 20402340 40804680