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10107378 = 232561521
BaseRepresentation
bin100110100011…
…100111110010
3201000111201100
4212203213302
510041414003
61000345230
7151624401
oct46434762
921014640
1010107378
115783906
123475216
13212b6c8
1414b1638
15d49ba3
hex9a39f2

10107378 has 12 divisors (see below), whose sum is σ = 21899358. Its totient is φ = 3369120.

The previous prime is 10107343. The next prime is 10107403. The reversal of 10107378 is 87370101.

It can be written as a sum of positive squares in only one way, i.e., 9345249 + 762129 = 3057^2 + 873^2 .

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 5 ways as a sum of consecutive naturals, for example, 280743 + ... + 280778.

Almost surely, 210107378 is an apocalyptic number.

10107378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10107378 is an abundant number, since it is smaller than the sum of its proper divisors (11791980).

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

10107378 is a wasteful number, since it uses less digits than its factorization.

10107378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561529 (or 561526 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 10107378 is about 3179.2102792989. The cubic root of 10107378 is about 216.2118548999.

Adding to 10107378 its reverse (87370101), we get a palindrome (97477479).

The spelling of 10107378 in words is "ten million, one hundred seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 561521 1123042 1684563 3369126 5053689 10107378