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10141272 = 2332831697
BaseRepresentation
bin100110101011…
…111001011000
3201002020012200
4212223321120
510044010042
61001210200
7152125251
oct46537130
921066180
1010141272
1157a7319
123490960
132140c6b
1414bdb28
15d54c4c
hex9abe58

10141272 has 48 divisors (see below), whose sum is σ = 27813240. Its totient is φ = 3337728.

The previous prime is 10141267. The next prime is 10141273. The reversal of 10141272 is 27214101.

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 not an unprimeable number, because it can be changed into a prime (10141273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5128 + ... + 6824.

Almost surely, 210141272 is an apocalyptic number.

10141272 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 10141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906620).

10141272 is an abundant number, since it is smaller than the sum of its proper divisors (17671968).

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

10141272 is a wasteful number, since it uses less digits than its factorization.

10141272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10141272 is about 3184.5363869801. The cubic root of 10141272 is about 216.4532662828.

Adding to 10141272 its reverse (27214101), we get a palindrome (37355373).

The spelling of 10141272 in words is "ten million, one hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1697 1992 2988 3394 5091 5976 6788 10182 13576 15273 20364 30546 40728 61092 122184 140851 281702 422553 563404 845106 1126808 1267659 1690212 2535318 3380424 5070636 10141272