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10143672 = 2337112499
BaseRepresentation
bin100110101100…
…011110111000
3201002100111120
4212230132320
510044044142
61001225240
7152135250
oct46543670
921070446
1010143672
1157a9100
123492220
132142096
1414c0960
15d557ec
hex9ac7b8

10143672 has 96 divisors (see below), whose sum is σ = 31920000. Its totient is φ = 2629440.

The previous prime is 10143659. The next prime is 10143673. The reversal of 10143672 is 27634101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (10143673) 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 23 ways as a sum of consecutive naturals, for example, 20079 + ... + 20577.

It is an arithmetic number, because the mean of its divisors is an integer number (332500).

Almost surely, 210143672 is an apocalyptic number.

10143672 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 10143672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960000).

10143672 is an abundant number, since it is smaller than the sum of its proper divisors (21776328).

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

10143672 is a wasteful number, since it uses less digits than its factorization.

10143672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10143672 is about 3184.9131856300. The cubic root of 10143672 is about 216.4703399748.

Adding to 10143672 its reverse (27634101), we get a palindrome (37777773).

The spelling of 10143672 in words is "ten million, one hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 499 616 726 847 924 968 998 1452 1497 1694 1848 1996 2541 2904 2994 3388 3493 3992 5082 5489 5988 6776 6986 10164 10479 10978 11976 13972 16467 20328 20958 21956 27944 32934 38423 41916 43912 60379 65868 76846 83832 115269 120758 131736 153692 181137 230538 241516 307384 362274 422653 461076 483032 724548 845306 922152 1267959 1449096 1690612 2535918 3381224 5071836 10143672