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10140264 = 2332140837
BaseRepresentation
bin100110101011…
…101001101000
3201002011211100
4212223221220
510043442024
61001201400
7152122311
oct46535150
921064740
1010140264
1157a6592
123490260
132140674
1414bd608
15d547c9
hex9aba68

10140264 has 24 divisors (see below), whose sum is σ = 27463410. Its totient is φ = 3380064.

The previous prime is 10140259. The next prime is 10140289. The reversal of 10140264 is 46204101.

10140264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5904900 + 4235364 = 2430^2 + 2058^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70347 + ... + 70490.

Almost surely, 210140264 is an apocalyptic number.

It is an amenable number.

10140264 is an abundant number, since it is smaller than the sum of its proper divisors (17323146).

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

10140264 is a wasteful number, since it uses less digits than its factorization.

10140264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140849 (or 140842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10140264 is about 3184.3781182517. The cubic root of 10140264 is about 216.4460945288.

Adding to 10140264 its reverse (46204101), we get a palindrome (56344365).

It can be divided in two parts, 10140 and 264, that added together give a square (10404 = 1022).

The spelling of 10140264 in words is "ten million, one hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140837 281674 422511 563348 845022 1126696 1267533 1690044 2535066 3380088 5070132 10140264