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11219904 = 263343151
BaseRepresentation
bin101010110011…
…001111000000
3210010000211000
4222303033000
510333014104
61040252000
7164240043
oct52631700
923100730
1011219904
116373753
123911000
13242abc7
1416c0c5a
15eb9639
hexab33c0

11219904 has 112 divisors (see below), whose sum is σ = 33975040. Its totient is φ = 3628800.

The previous prime is 11219903. The next prime is 11219933. The reversal of 11219904 is 40991211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11219903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74229 + ... + 74379.

Almost surely, 211219904 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 11219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987520).

11219904 is an abundant number, since it is smaller than the sum of its proper divisors (22755136).

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

11219904 is a wasteful number, since it uses less digits than its factorization.

11219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11219904 is about 3349.6125149038. The cubic root of 11219904 is about 223.8702479849.

It can be divided in two parts, 1121 and 9904, that added together give a square (11025 = 1052).

The spelling of 11219904 in words is "eleven million, two hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 151 172 192 216 258 288 302 344 387 432 453 516 576 604 688 774 864 906 1032 1161 1208 1359 1376 1548 1728 1812 2064 2322 2416 2718 2752 3096 3624 4077 4128 4644 4832 5436 6192 6493 7248 8154 8256 9288 9664 10872 12384 12986 14496 16308 18576 19479 21744 24768 25972 28992 32616 37152 38958 43488 51944 58437 65232 74304 77916 86976 103888 116874 130464 155832 175311 207776 233748 260928 311664 350622 415552 467496 623328 701244 934992 1246656 1402488 1869984 2804976 3739968 5609952 11219904