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12090384 = 243419491
BaseRepresentation
bin101110000111…
…110000010000
3211202020220000
4232013300100
511043343014
61111050000
7204523635
oct56076020
924666800
1012090384
116908759
124070900
132674197
14186a18c
1510dc509
hexb87c10

12090384 has 100 divisors (see below), whose sum is σ = 36909840. Its totient is φ = 3810240.

The previous prime is 12090343. The next prime is 12090409. The reversal of 12090384 is 48309021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24379 + ... + 24869.

Almost surely, 212090384 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 12090384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454920).

12090384 is an abundant number, since it is smaller than the sum of its proper divisors (24819456).

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

12090384 is a wasteful number, since it uses less digits than its factorization.

12090384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12090384 is about 3477.1229486459. The cubic root of 12090384 is about 229.5162105684.

The spelling of 12090384 in words is "twelve million, ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 491 513 648 684 912 982 1026 1296 1368 1473 1539 1964 2052 2736 2946 3078 3928 4104 4419 5892 6156 7856 8208 8838 9329 11784 12312 13257 17676 18658 23568 24624 26514 27987 35352 37316 39771 53028 55974 70704 74632 79542 83961 106056 111948 149264 159084 167922 212112 223896 251883 318168 335844 447792 503766 636336 671688 755649 1007532 1343376 1511298 2015064 3022596 4030128 6045192 12090384