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1806039040 = 21151313567
BaseRepresentation
bin110101110100101…
…1111100000000000
311122212101021210211
41223221133200000
512144321222130
6455113403504
762520035641
oct15351374000
94585337724
101806039040
11847509953
12424a09594
1322a225a70
14131c096c8
15a884ca2a
hex6ba5f800

1806039040 has 96 divisors (see below), whose sum is σ = 4667120640. Its totient is φ = 666796032.

The previous prime is 1806039019. The next prime is 1806039041. The reversal of 1806039040 is 409306081.

It is a junction number, because it is equal to n+sod(n) for n = 1806038993 and 1806039011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806039041) 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, 126337 + ... + 139903.

It is an arithmetic number, because the mean of its divisors is an integer number (48615840).

Almost surely, 21806039040 is an apocalyptic number.

1806039040 is a gapful number since it is divisible by the number (10) 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 1806039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333560320).

1806039040 is an abundant number, since it is smaller than the sum of its proper divisors (2861081600).

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

1806039040 is a wasteful number, since it uses less digits than its factorization.

1806039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1806039040 is about 42497.5180451753. The cubic root of 1806039040 is about 1217.7992754161.

The spelling of 1806039040 in words is "one billion, eight hundred six million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4160 5120 6656 8320 10240 13312 13567 16640 26624 27134 33280 54268 66560 67835 108536 133120 135670 176371 217072 271340 352742 434144 542680 705484 868288 881855 1085360 1410968 1736576 1763710 2170720 2821936 3473152 3527420 4341440 5643872 6946304 7054840 8682880 11287744 13892608 14109680 17365760 22575488 27785216 28219360 34731520 45150976 56438720 69463040 90301952 112877440 138926080 180603904 225754880 361207808 451509760 903019520 1806039040