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11148921 = 3472532
BaseRepresentation
bin101010100001…
…111001111001
3202222102110000
4222201321321
510323231141
61034543213
7163523100
oct52417171
922872400
1011148921
116325393
123897b09
1324047c4
1416a3037
15ea35b6
hexaa1e79

11148921 has 45 divisors (see below), whose sum is σ = 19746111. Its totient is φ = 6250608.

The previous prime is 11148899. The next prime is 11148947. The reversal of 11148921 is 12984111.

The square root of 11148921 is 3339.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 3111696 = 2835^2 + 1764^2 .

It is not a de Polignac number, because 11148921 - 27 = 11148793 is a prime.

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 (11143921) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 210331 + ... + 210383.

Almost surely, 211148921 is an apocalyptic number.

11148921 is the 3339-th square number.

11148921 is the 1670-th centered octagonal number.

It is an amenable number.

11148921 is a deficient number, since it is larger than the sum of its proper divisors (8597190).

11148921 is an frugal number, since it uses more digits than its factorization.

11148921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 63 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The cubic root of 11148921 is about 223.3971419863.

Multiplying 11148921 by its product of digits (576), we get a square (6421778496 = 801362).

The spelling of 11148921 in words is "eleven million, one hundred forty-eight thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 53 63 81 147 159 189 371 441 477 567 1113 1323 1431 2597 2809 3339 3969 4293 7791 8427 10017 19663 23373 25281 30051 58989 70119 75843 137641 176967 210357 227529 412923 530901 1238769 1592703 3716307 11148921