Search a number
-
+
11198904 = 2331941599
BaseRepresentation
bin101010101110…
…000110111000
3210001222000020
4222232012320
510331331104
61040010440
7164121603
oct52560670
923058006
1011198904
1163599a2
123900a20
132421492
1416b733a
15eb32d9
hexaae1b8

11198904 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3444480.

The previous prime is 11198899. The next prime is 11198909. The reversal of 11198904 is 40989111.

11198904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11198899) and next prime (11198909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198909) 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, 18397 + ... + 18995.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 211198904 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 11198904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

11198904 is an abundant number, since it is smaller than the sum of its proper divisors (19041096).

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

11198904 is a wasteful number, since it uses less digits than its factorization.

11198904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 11198904 is about 3346.4763558107. The cubic root of 11198904 is about 223.7304900646.

The spelling of 11198904 in words is "eleven million, one hundred ninety-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 599 779 984 1198 1558 1797 2337 2396 3116 3594 4674 4792 6232 7188 9348 11381 14376 18696 22762 24559 34143 45524 49118 68286 73677 91048 98236 136572 147354 196472 273144 294708 466621 589416 933242 1399863 1866484 2799726 3732968 5599452 11198904