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10387944 = 2332720611
BaseRepresentation
bin100111101000…
…000111101000
3201112202120200
4213220013220
510124403234
61010352200
7154203360
oct47500750
921482520
1010387944
115955686
12358b660
1321c9318
1415459a0
15da2d99
hex9e81e8

10387944 has 48 divisors (see below), whose sum is σ = 32154720. Its totient is φ = 2967840.

The previous prime is 10387919. The next prime is 10387961. The reversal of 10387944 is 44978301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10387899 and 10387908.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9802 + ... + 10809.

It is an arithmetic number, because the mean of its divisors is an integer number (669890).

Almost surely, 210387944 is an apocalyptic number.

10387944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10387944 is an abundant number, since it is smaller than the sum of its proper divisors (21766776).

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

10387944 is a wasteful number, since it uses less digits than its factorization.

10387944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20630 (or 20623 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10387944 is about 3223.0333538454. The cubic root of 10387944 is about 218.1941989187.

The spelling of 10387944 in words is "ten million, three hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 20611 41222 61833 82444 123666 144277 164888 185499 247332 288554 370998 432831 494664 577108 741996 865662 1154216 1298493 1483992 1731324 2596986 3462648 5193972 10387944