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11520000 = 2113254
BaseRepresentation
bin101011111100…
…100000000000
3210200021110200
4223330200000
510422120000
61050525200
7166630002
oct53744000
923607420
1011520000
116559168
123a36800
13250468b
14175c372
151028500
hexafc800

11520000 has 180 divisors, whose sum is σ = 41576535. Its totient is φ = 3072000.

The previous prime is 11519983. The next prime is 11520013. The reversal of 11520000 is 2511.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 8856576 = 1632^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2400.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2303998 + ... + 2304002.

Almost surely, 211520000 is an apocalyptic number.

11520000 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 11520000

11520000 is an abundant number, since it is smaller than the sum of its proper divisors (30056535).

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

11520000 is an frugal number, since it uses more digits than its factorization.

11520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11520000 is about 3394.1125496954. The cubic root of 11520000 is about 225.8486469314.

Adding to 11520000 its reverse (2511), we get a palindrome (11522511).

The spelling of 11520000 in words is "eleven million, five hundred twenty thousand".