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11900304 = 2433132163
BaseRepresentation
bin101101011001…
…010110010000
3211101121011000
4231121112100
511021302204
61103022000
7203102523
oct55312620
924347130
1011900304
116798969
123b9a900
132608800
14181abba
1510a1039
hexb59590

11900304 has 120 divisors (see below), whose sum is σ = 37214880. Its totient is φ = 3639168.

The previous prime is 11900303. The next prime is 11900321. The reversal of 11900304 is 40300911.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11900303) 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 23 ways as a sum of consecutive naturals, for example, 72927 + ... + 73089.

It is an arithmetic number, because the mean of its divisors is an integer number (310124).

Almost surely, 211900304 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 11900304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607440).

11900304 is an abundant number, since it is smaller than the sum of its proper divisors (25314576).

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

11900304 is a wasteful number, since it uses less digits than its factorization.

11900304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11900304 is about 3449.6817244494. The cubic root of 11900304 is about 228.3070654895.

The spelling of 11900304 in words is "eleven million, nine hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 163 169 208 216 234 312 326 338 351 432 468 489 507 624 652 676 702 936 978 1014 1304 1352 1404 1467 1521 1872 1956 2028 2119 2608 2704 2808 2934 3042 3912 4056 4238 4401 4563 5616 5868 6084 6357 7824 8112 8476 8802 9126 11736 12168 12714 16952 17604 18252 19071 23472 24336 25428 27547 33904 35208 36504 38142 50856 55094 57213 70416 73008 76284 82641 101712 110188 114426 152568 165282 220376 228852 247923 305136 330564 440752 457704 495846 661128 743769 915408 991692 1322256 1487538 1983384 2975076 3966768 5950152 11900304