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10380160 = 27572331
BaseRepresentation
bin100111100110…
…001110000000
3201112100220101
4213212032000
510124131120
61010252144
7154141600
oct47461600
921470811
1010380160
11594a84a
123587054
1321c590b
141542c00
15da090a
hex9e6380

10380160 has 96 divisors (see below), whose sum is σ = 28953720. Its totient is φ = 3548160.

The previous prime is 10380151. The next prime is 10380163. The reversal of 10380160 is 6108301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31195 + ... + 31525.

Almost surely, 210380160 is an apocalyptic number.

10380160 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 10380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476860).

10380160 is an abundant number, since it is smaller than the sum of its proper divisors (18573560).

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

10380160 is an equidigital number, since it uses as much as digits as its factorization.

10380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10380160 is about 3221.8255694559. The cubic root of 10380160 is about 218.1396854670.

Adding to 10380160 its reverse (6108301), we get a palindrome (16488461).

The spelling of 10380160 in words is "ten million, three hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 331 392 448 490 560 640 662 784 896 980 1120 1324 1568 1655 1960 2240 2317 2648 3136 3310 3920 4480 4634 5296 6272 6620 7840 9268 10592 11585 13240 15680 16219 18536 21184 23170 26480 31360 32438 37072 42368 46340 52960 64876 74144 81095 92680 105920 129752 148288 162190 185360 211840 259504 296576 324380 370720 519008 648760 741440 1038016 1297520 1482880 2076032 2595040 5190080 10380160