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10127369 = 7241712
BaseRepresentation
bin100110101000…
…100000001001
3201001112010202
4212220200021
510043033434
61001021545
7152036600
oct46504011
921045122
1010127369
11579792a
1234848b5
132137835
1414b8a37
15d50a7e
hex9a8809

10127369 has 18 divisors (see below), whose sum is σ = 12240522. Its totient is φ = 8349600.

The previous prime is 10127339. The next prime is 10127387. The reversal of 10127369 is 96372101.

It can be written as a sum of positive squares in only one way, i.e., 6175225 + 3952144 = 2485^2 + 1988^2 .

It is a de Polignac number, because none of the positive numbers 2k-10127369 is a prime.

It is a super-2 number, since 2×101273692 = 205127205724322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142604 + ... + 142674.

It is an arithmetic number, because the mean of its divisors is an integer number (680029).

Almost surely, 210127369 is an apocalyptic number.

It is an amenable number.

10127369 is a deficient number, since it is larger than the sum of its proper divisors (2113153).

10127369 is an frugal number, since it uses more digits than its factorization.

10127369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 10127369 is about 3182.3527460041. The cubic root of 10127369 is about 216.3543067698.

The spelling of 10127369 in words is "ten million, one hundred twenty-seven thousand, three hundred sixty-nine".

Divisors: 1 7 41 49 71 287 497 2009 2911 3479 5041 20377 35287 142639 206681 247009 1446767 10127369