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10141092 = 22331331233
BaseRepresentation
bin100110101011…
…110110100100
3201002012222000
4212223312210
510044003332
61001205300
7152124603
oct46536644
921065860
1010141092
1157a7175
123490830
132140b60
1414bda3a
15d54b7c
hex9abda4

10141092 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 3006720.

The previous prime is 10141069. The next prime is 10141111. The reversal of 10141092 is 29014101.

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 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 31 ways as a sum of consecutive naturals, for example, 43408 + ... + 43640.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 210141092 is an apocalyptic number.

10141092 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 10141092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10141092 is an abundant number, since it is smaller than the sum of its proper divisors (19211868).

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

10141092 is a wasteful number, since it uses less digits than its factorization.

10141092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10141092 is about 3184.5081252840. The cubic root of 10141092 is about 216.4519856473.

Adding to 10141092 its reverse (29014101), we get a palindrome (39155193).

The spelling of 10141092 in words is "ten million, one hundred forty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 233 234 279 351 372 403 466 468 558 699 702 806 837 932 1116 1209 1398 1404 1612 1674 2097 2418 2796 3029 3348 3627 4194 4836 6058 6291 7223 7254 8388 9087 10881 12116 12582 14446 14508 18174 21669 21762 25164 27261 28892 36348 43338 43524 54522 65007 81783 86676 93899 109044 130014 163566 187798 195021 260028 281697 327132 375596 390042 563394 780084 845091 1126788 1690182 2535273 3380364 5070546 10141092