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11923488 = 2532192179
BaseRepresentation
bin101101011111…
…000000100000
3211102202221200
4231133000200
511023022423
61103321200
7203230233
oct55370040
924382850
1011923488
116804325
123bb0200
132616225
14182541a
1510a7d43
hexb5f020

11923488 has 72 divisors (see below), whose sum is σ = 35708400. Its totient is φ = 3763584.

The previous prime is 11923481. The next prime is 11923493. The reversal of 11923488 is 88432911.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×119234882 = 284339132172288, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11923481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4383 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (495950).

Almost surely, 211923488 is an apocalyptic number.

11923488 is a gapful number since it is divisible by the number (18) 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 11923488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854200).

11923488 is an abundant number, since it is smaller than the sum of its proper divisors (23784912).

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

11923488 is a wasteful number, since it uses less digits than its factorization.

11923488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2203 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11923488 is about 3453.0403994161. The cubic root of 11923488 is about 228.4552308201.

The spelling of 11923488 in words is "eleven million, nine hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2179 2736 4358 5472 6537 8716 13074 17432 19611 26148 34864 39222 41401 52296 69728 78444 82802 104592 124203 156888 165604 209184 248406 313776 331208 372609 496812 627552 662416 745218 993624 1324832 1490436 1987248 2980872 3974496 5961744 11923488