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10380916 = 2271319279
BaseRepresentation
bin100111100110…
…011001110100
3201112101221101
4213212121310
510124142131
61010255444
7154144030
oct47463164
921471841
1010380916
115950377
123587584
1321c6070
1415431c0
15da0c61
hex9e6674

10380916 has 72 divisors (see below), whose sum is σ = 23896320. Its totient is φ = 3841344.

The previous prime is 10380907. The next prime is 10380941. The reversal of 10380916 is 61908301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 131365 + ... + 131443.

Almost surely, 210380916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948160).

10380916 is an abundant number, since it is smaller than the sum of its proper divisors (13515404).

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

10380916 is a wasteful number, since it uses less digits than its factorization.

10380916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 10380916 is about 3221.9428921072. The cubic root of 10380916 is about 218.1449811336.

The spelling of 10380916 in words is "ten million, three hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 79 91 133 158 182 247 266 316 361 364 494 532 553 722 988 1027 1106 1444 1501 1729 2054 2212 2527 3002 3458 4108 4693 5054 6004 6916 7189 9386 10108 10507 14378 18772 19513 21014 28519 28756 32851 39026 42028 57038 65702 78052 114076 131404 136591 199633 273182 370747 399266 546364 741494 798532 1482988 2595229 5190458 10380916