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10403840 = 2145127
BaseRepresentation
bin100111101100…
…000000000000
3201120120101102
4213230000000
510130410330
61010553532
7154300616
oct47540000
921516342
1010403840
115966617
1235988a8
132203625
14154b6b6
15da7945
hex9ec000

10403840 has 60 divisors (see below), whose sum is σ = 25165056. Its totient is φ = 4128768.

The previous prime is 10403839. The next prime is 10403857. The reversal of 10403840 is 4830401.

It is a Harshad number since it is a multiple of its sum of digits (20).

10403840 is a Rhonda number in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81857 + ... + 81983.

Almost surely, 210403840 is an apocalyptic number.

10403840 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 10403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582528).

10403840 is an abundant number, since it is smaller than the sum of its proper divisors (14761216).

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

10403840 is an frugal number, since it uses more digits than its factorization.

10403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10403840 is about 3225.4984110987. The cubic root of 10403840 is about 218.3054383620.

The spelling of 10403840 in words is "ten million, four hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2048 2540 2560 4064 4096 5080 5120 8128 8192 10160 10240 16256 16384 20320 20480 32512 40640 40960 65024 81280 81920 130048 162560 260096 325120 520192 650240 1040384 1300480 2080768 2600960 5201920 10403840