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11534496 = 253532267
BaseRepresentation
bin101100000000…
…000010100000
3210201000100120
4230000002200
510423100441
61051120240
7200020161
oct54000240
923630316
1011534496
116569046
123a43080
13250b15c
141763768
15102c966
hexb000a0

11534496 has 48 divisors (see below), whose sum is σ = 30862944. Its totient is φ = 3770624.

The previous prime is 11534473. The next prime is 11534533. The reversal of 11534496 is 69443511.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3955 + ... + 6221.

It is an arithmetic number, because the mean of its divisors is an integer number (642978).

Almost surely, 211534496 is an apocalyptic number.

11534496 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 11534496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431472).

11534496 is an abundant number, since it is smaller than the sum of its proper divisors (19328448).

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

11534496 is a wasteful number, since it uses less digits than its factorization.

11534496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 11534496 is about 3396.2473408160. The cubic root of 11534496 is about 225.9433381851.

It can be divided in two parts, 115344 and 96, that added together give a triangular number (115440 = T480).

The spelling of 11534496 in words is "eleven million, five hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2267 2544 4534 5088 6801 9068 13602 18136 27204 36272 54408 72544 108816 120151 217632 240302 360453 480604 720906 961208 1441812 1922416 2883624 3844832 5767248 11534496