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10380645 = 3251167313
BaseRepresentation
bin100111100110…
…010101100101
3201112101120100
4213212111211
510124140040
61010254313
7154143162
oct47462545
921471510
1010380645
115950150
123587399
1321c5bc2
141543069
15da0b30
hex9e6565

10380645 has 48 divisors (see below), whose sum is σ = 19985472. Its totient is φ = 4942080.

The previous prime is 10380641. The next prime is 10380647. The reversal of 10380645 is 54608301.

10380645 is a `hidden beast` number, since 10 + 3 + 8 + 0 + 645 = 666.

It is not a de Polignac number, because 10380645 - 22 = 10380641 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33009 + ... + 33321.

It is an arithmetic number, because the mean of its divisors is an integer number (416364).

Almost surely, 210380645 is an apocalyptic number.

10380645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10380645 is a deficient number, since it is larger than the sum of its proper divisors (9604827).

10380645 is a wasteful number, since it uses less digits than its factorization.

10380645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10380645 is about 3221.9008364628. The cubic root of 10380645 is about 218.1430828488.

Adding to 10380645 its reverse (54608301), we get a palindrome (64988946).

It can be divided in two parts, 10380 and 645, that added together give a square (11025 = 1052).

The spelling of 10380645 in words is "ten million, three hundred eighty thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 67 99 165 201 313 335 495 603 737 939 1005 1565 2211 2817 3015 3443 3685 4695 6633 10329 11055 14085 17215 20971 30987 33165 51645 62913 104855 154935 188739 230681 314565 692043 943695 1153405 2076129 3460215 10380645