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11270480 = 2451310837
BaseRepresentation
bin101010111111…
…100101010000
3210012121012012
4222333211100
510341123410
61041322052
7164540354
oct52774520
923177165
1011270480
1163a8751
123936328
132447c30
1416d5464
15ec9605
hexabf950

11270480 has 40 divisors (see below), whose sum is σ = 28222152. Its totient is φ = 4161024.

The previous prime is 11270461. The next prime is 11270513. The reversal of 11270480 is 8407211.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 11262736 = 88^2 + 3356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4379 + ... + 6458.

Almost surely, 211270480 is an apocalyptic number.

11270480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11270480 is an abundant number, since it is smaller than the sum of its proper divisors (16951672).

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

11270480 is a wasteful number, since it uses less digits than its factorization.

11270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 11270480 is about 3357.1535562140. The cubic root of 11270480 is about 224.2061240427.

Adding to 11270480 its reverse (8407211), we get a palindrome (19677691).

The spelling of 11270480 in words is "eleven million, two hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10837 21674 43348 54185 86696 108370 140881 173392 216740 281762 433480 563524 704405 866960 1127048 1408810 2254096 2817620 5635240 11270480