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11828916 = 2234113319
BaseRepresentation
bin101101000111…
…111010110100
3211020222020000
4231013322310
511012011131
61101311300
7202354431
oct55077264
924228200
1011828916
11674a270
123b65530
1325b2178
1417dcb88
151089ce6
hexb47eb4

11828916 has 60 divisors (see below), whose sum is σ = 33744480. Its totient is φ = 3583440.

The previous prime is 11828903. The next prime is 11828933. The reversal of 11828916 is 61982811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1905 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (562408).

Almost surely, 211828916 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 11828916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872240).

11828916 is an abundant number, since it is smaller than the sum of its proper divisors (21915564).

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

11828916 is a wasteful number, since it uses less digits than its factorization.

11828916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3335 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11828916 is about 3439.3191186629. The cubic root of 11828916 is about 227.8496238337.

The spelling of 11828916 in words is "eleven million, eight hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3319 3564 6638 9957 13276 19914 29871 36509 39828 59742 73018 89613 109527 119484 146036 179226 219054 268839 328581 358452 438108 537678 657162 985743 1075356 1314324 1971486 2957229 3942972 5914458 11828916