Search a number
-
+
10166148 = 223510459
BaseRepresentation
bin100110110001…
…111110000100
3201010111100000
4212301332010
510100304043
61001521300
7152260626
oct46617604
921114300
1010166148
115813a83
1234a3230
13214c395
1414c8c16
15d5c2d3
hex9b1f84

10166148 has 36 divisors (see below), whose sum is σ = 26652080. Its totient is φ = 3388392.

The previous prime is 10166141. The next prime is 10166173. The reversal of 10166148 is 84166101.

10166148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10166141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4258 + ... + 6201.

Almost surely, 210166148 is an apocalyptic number.

10166148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10166148 is an abundant number, since it is smaller than the sum of its proper divisors (16485932).

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

10166148 is a wasteful number, since it uses less digits than its factorization.

10166148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10478 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10166148 is about 3188.4397438246. The cubic root of 10166148 is about 216.6301045472.

The spelling of 10166148 in words is "ten million, one hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 10459 20918 31377 41836 62754 94131 125508 188262 282393 376524 564786 847179 1129572 1694358 2541537 3388716 5083074 10166148