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11405088 = 25321992
BaseRepresentation
bin101011100000…
…011100100000
3210110102211200
4223200130200
510404430323
61044241200
7165640662
oct53403440
923412750
1011405088
11648a8a2
1239a0200
132494296
14172c532
151004443
hexae0720

11405088 has 54 divisors (see below), whose sum is σ = 32597019. Its totient is φ = 3782592.

The previous prime is 11405081. The next prime is 11405099. The reversal of 11405088 is 88050411.

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 only one way, i.e., 5702544 + 5702544 = 2388^2 + 2388^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2388.

It is not an unprimeable number, because it can be changed into a prime (11405081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57213 + ... + 57411.

Almost surely, 211405088 is an apocalyptic number.

11405088 is a gapful number since it is divisible by the number (18) 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 11405088

11405088 is an abundant number, since it is smaller than the sum of its proper divisors (21191931).

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

11405088 is an equidigital number, since it uses as much as digits as its factorization.

11405088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11405088 is about 3377.1419869470. The cubic root of 11405088 is about 225.0951893528.

Adding to 11405088 its reverse (88050411), we get a palindrome (99455499).

The spelling of 11405088 in words is "eleven million, four hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 14328 19104 28656 39601 57312 79202 118803 158404 237606 316808 356409 475212 633616 712818 950424 1267232 1425636 1900848 2851272 3801696 5702544 11405088