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10186372 = 227363799
BaseRepresentation
bin100110110110…
…111010000100
3201011112002001
4212312322010
510101430442
61002155044
7152403610
oct46667204
921145061
1010186372
115828199
1234b2a84
132158651
1414d2340
15d632b7
hex9b6e84

10186372 has 12 divisors (see below), whose sum is σ = 20372800. Its totient is φ = 4365576.

The previous prime is 10186343. The next prime is 10186373. The reversal of 10186372 is 27368101.

10186372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10186372 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 363799 = 10186372 / (1 + 0 + 1 + 8 + 6 + 3 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 10186372.

It is not an unprimeable number, because it can be changed into a prime (10186373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181872 + ... + 181927.

Almost surely, 210186372 is an apocalyptic number.

It is an amenable number.

10186372 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10186372 is a wasteful number, since it uses less digits than its factorization.

10186372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363810 (or 363808 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10186372 is about 3191.6096252518. The cubic root of 10186372 is about 216.7736602396.

The spelling of 10186372 in words is "ten million, one hundred eighty-six thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 363799 727598 1455196 2546593 5093186 10186372