Search a number
-
+
10190232 = 23331319191
BaseRepresentation
bin100110110111…
…110110011000
3201011201101000
4212313312120
510102041412
61002225000
7152421063
oct46676630
921151330
1010190232
115830088
1234b5160
13215a330
1414d38da
15d644dc
hex9b7d98

10190232 has 128 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 2954880.

The previous prime is 10190179. The next prime is 10190237. The reversal of 10190232 is 23209101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53257 + ... + 53447.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 210190232 is an apocalyptic number.

10190232 is a gapful number since it is divisible by the number (12) 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 10190232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

10190232 is an abundant number, since it is smaller than the sum of its proper divisors (22065768).

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

10190232 is a wasteful number, since it uses less digits than its factorization.

10190232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10190232 is about 3192.2142785220. The cubic root of 10190232 is about 216.8010380165.

Adding to 10190232 its reverse (23209101), we get a palindrome (33399333).

The spelling of 10190232 in words is "ten million, one hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 191 216 228 234 247 312 342 351 382 456 468 494 513 573 684 702 741 764 936 988 1026 1146 1368 1404 1482 1528 1719 1976 2052 2223 2292 2483 2808 2964 3438 3629 4104 4446 4584 4966 5157 5928 6669 6876 7258 7449 8892 9932 10314 10887 13338 13752 14516 14898 17784 19864 20628 21774 22347 26676 29032 29796 32661 41256 43548 44694 47177 53352 59592 65322 67041 87096 89388 94354 97983 130644 134082 141531 178776 188708 195966 261288 268164 283062 377416 391932 424593 536328 566124 783864 849186 1132248 1273779 1698372 2547558 3396744 5095116 10190232