Search a number
-
+
11166148 = 22719139151
BaseRepresentation
bin101010100110…
…000111000100
3210000022002001
4222212013010
510324304043
61035155044
7163624240
oct52460704
923008061
1011166148
116337324
1238a5a84
13240c5b6
1416a9420
15ea874d
hexaa61c4

11166148 has 48 divisors (see below), whose sum is σ = 23833600. Its totient is φ = 4471200.

The previous prime is 11166143. The next prime is 11166149. The reversal of 11166148 is 84166111.

It is a super-2 number, since 2×111661482 = 249365722315808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11166143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73873 + ... + 74023.

Almost surely, 211166148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11166148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916800).

11166148 is an abundant number, since it is smaller than the sum of its proper divisors (12667452).

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

11166148 is a wasteful number, since it uses less digits than its factorization.

11166148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 11166148 is about 3341.5786688330. The cubic root of 11166148 is about 223.5121451059.

The spelling of 11166148 in words is "eleven million, one hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 139 151 266 278 302 532 556 604 973 1057 1946 2114 2641 2869 3892 4228 5282 5738 10564 11476 18487 20083 20989 36974 40166 41978 73948 80332 83956 146923 293846 398791 587692 797582 1595164 2791537 5583074 11166148