Search a number
-
+
11198412 = 223541281
BaseRepresentation
bin101010101101…
…111111001100
3210001221100000
4222231333030
510331322122
61040004300
7164120301
oct52557714
923057300
1011198412
116359595
123900690
1324211a4
1416b70a8
15eb30ac
hexaadfcc

11198412 has 72 divisors (see below), whose sum is σ = 30178512. Its totient is φ = 3628800.

The previous prime is 11198399. The next prime is 11198417. The reversal of 11198412 is 21489111.

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 (11198417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39712 + ... + 39992.

It is an arithmetic number, because the mean of its divisors is an integer number (419146).

Almost surely, 211198412 is an apocalyptic number.

11198412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11198412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089256).

11198412 is an abundant number, since it is smaller than the sum of its proper divisors (18980100).

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

11198412 is a wasteful number, since it uses less digits than its factorization.

11198412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

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

The square root of 11198412 is about 3346.4028448470. The cubic root of 11198412 is about 223.7272136424.

The spelling of 11198412 in words is "eleven million, one hundred ninety-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 281 324 369 486 492 562 738 843 972 1107 1124 1476 1686 2214 2529 3321 3372 4428 5058 6642 7587 9963 10116 11521 13284 15174 19926 22761 23042 30348 34563 39852 45522 46084 68283 69126 91044 103689 136566 138252 207378 273132 311067 414756 622134 933201 1244268 1866402 2799603 3732804 5599206 11198412