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11988816 = 2437311151
BaseRepresentation
bin101101101110…
…111101010000
3211120002120020
4231232331100
511032120231
61104543440
7203621550
oct55567520
924502506
1011988816
116849414
124021b80
132639b98
141841160
1510bc396
hexb6ef50

11988816 has 80 divisors (see below), whose sum is σ = 36569088. Its totient is φ = 3312000.

The previous prime is 11988811. The next prime is 11988827. The reversal of 11988816 is 61888911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11988811) 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, 9841 + ... + 10991.

Almost surely, 211988816 is an apocalyptic number.

11988816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11988816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284544).

11988816 is an abundant number, since it is smaller than the sum of its proper divisors (24580272).

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

11988816 is a wasteful number, since it uses less digits than its factorization.

11988816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its digits is 27648, while the sum is 42.

The square root of 11988816 is about 3462.4869674845. The cubic root of 11988816 is about 228.8717014915.

The spelling of 11988816 in words is "eleven million, nine hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1151 1302 1488 1736 2302 2604 3453 3472 4604 5208 6906 8057 9208 10416 13812 16114 18416 24171 27624 32228 35681 48342 55248 64456 71362 96684 107043 128912 142724 193368 214086 249767 285448 386736 428172 499534 570896 749301 856344 999068 1498602 1712688 1998136 2997204 3996272 5994408 11988816