Search a number
-
+
10141992 = 2332720123
BaseRepresentation
bin100110101100…
…000100101000
3201002021012100
4212230010220
510044020432
61001213400
7152130330
oct46540450
921067170
1010141992
1157a7913
123491260
1321413a3
1414c00c0
15d5507c
hex9ac128

10141992 has 48 divisors (see below), whose sum is σ = 31393440. Its totient is φ = 2897568.

The previous prime is 10141987. The next prime is 10141993. The reversal of 10141992 is 29914101.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10141993) 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, 9558 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (654030).

Almost surely, 210141992 is an apocalyptic number.

10141992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10141992 is an abundant number, since it is smaller than the sum of its proper divisors (21251448).

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

10141992 is a wasteful number, since it uses less digits than its factorization.

10141992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20142 (or 20135 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10141992 is about 3184.6494312561. The cubic root of 10141992 is about 216.4583886732.

The spelling of 10141992 in words is "ten million, one hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 20123 40246 60369 80492 120738 140861 160984 181107 241476 281722 362214 422583 482952 563444 724428 845166 1126888 1267749 1448856 1690332 2535498 3380664 5070996 10141992