Search a number
-
+
10181430 = 233575387
BaseRepresentation
bin100110110101…
…101100110110
3201011021022000
4212311230312
510101301210
61002120130
7152353320
oct46655466
921137260
1010181430
115824506
1234b0046
13215631c
1414d0610
15d61ac0
hex9b5b36

10181430 has 64 divisors (see below), whose sum is σ = 31034880. Its totient is φ = 2326752.

The previous prime is 10181417. The next prime is 10181443. The reversal of 10181430 is 3418101.

It is an interprime number because it is at equal distance from previous prime (10181417) and next prime (10181443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (484920).

Almost surely, 210181430 is an apocalyptic number.

10181430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10181430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517440).

10181430 is an abundant number, since it is smaller than the sum of its proper divisors (20853450).

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

10181430 is a wasteful number, since it uses less digits than its factorization.

10181430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10181430 is about 3190.8353138324. The cubic root of 10181430 is about 216.7385980760.

Adding to 10181430 its reverse (3418101), we get a palindrome (13599531).

The spelling of 10181430 in words is "ten million, one hundred eighty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5387 10774 16161 26935 32322 37709 48483 53870 75418 80805 96966 113127 145449 161610 188545 226254 242415 290898 339381 377090 484830 565635 678762 727245 1018143 1131270 1454490 1696905 2036286 3393810 5090715 10181430