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11503872 = 28324993
BaseRepresentation
bin101011111000…
…100100000000
3210122110100100
4223320210000
510421110442
61050322400
7166531662
oct53704400
923573310
1011503872
116548036
123a29400
1324ca233
141756532
15102384c
hexaf8900

11503872 has 54 divisors (see below), whose sum is σ = 33175142. Its totient is φ = 3833856.

The previous prime is 11503871. The next prime is 11503889. The reversal of 11503872 is 27830511.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 2359296 = 3024^2 + 1536^2 .

It is not an unprimeable number, because it can be changed into a prime (11503871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193 + ... + 4800.

Almost surely, 211503872 is an apocalyptic number.

11503872 is a gapful number since it is divisible by the number (12) 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 11503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587571).

11503872 is an abundant number, since it is smaller than the sum of its proper divisors (21671270).

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

11503872 is an equidigital number, since it uses as much as digits as its factorization.

11503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11503872 is about 3391.7358387705. The cubic root of 11503872 is about 225.7432016731.

The spelling of 11503872 in words is "eleven million, five hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4993 9986 14979 19972 29958 39944 44937 59916 79888 89874 119832 159776 179748 239664 319552 359496 479328 639104 718992 958656 1278208 1437984 1917312 2875968 3834624 5751936 11503872