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11899040 = 255312399
BaseRepresentation
bin101101011001…
…000010100000
3211101112102012
4231121002200
511021232130
61103012052
7203066036
oct55310240
924345365
1011899040
116797a1a
123b9a028
13260806a
14181a556
1510a0995
hexb590a0

11899040 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4604160.

The previous prime is 11899007. The next prime is 11899049. The reversal of 11899040 is 4099811.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11898988 and 11899006.

It is not an unprimeable number, because it can be changed into a prime (11899049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3761 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 211899040 is an apocalyptic number.

11899040 is a gapful number since it is divisible by the number (10) 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 11899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11899040 is an abundant number, since it is smaller than the sum of its proper divisors (17131360).

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

11899040 is a wasteful number, since it uses less digits than its factorization.

11899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 11899040 is about 3449.4985142771. The cubic root of 11899040 is about 228.2989819328.

The spelling of 11899040 in words is "eleven million, eight hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2399 2480 4798 4960 9596 11995 19192 23990 38384 47980 74369 76768 95960 148738 191920 297476 371845 383840 594952 743690 1189904 1487380 2379808 2974760 5949520 11899040