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11057418 = 233972111
BaseRepresentation
bin101010001011…
…100100001010
3202210202221000
4222023210022
510312314133
61032555430
7162662241
oct52134412
922722830
1011057418
116272669
123852b76
1323a1c68
14167b958
15e86413
hexa8b90a

11057418 has 32 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 3646080.

The previous prime is 11057401. The next prime is 11057419. The reversal of 11057418 is 81475011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11057391 and 11057400.

It is not an unprimeable number, because it can be changed into a prime (11057419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4183 + ... + 6293.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 211057418 is an apocalyptic number.

11057418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

11057418 is an abundant number, since it is smaller than the sum of its proper divisors (13779702).

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

11057418 is a wasteful number, since it uses less digits than its factorization.

11057418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 11057418 is about 3325.2696131291. The cubic root of 11057418 is about 222.7842967744.

It can be divided in two parts, 110574 and 18, that added together give a cube (110592 = 483).

The spelling of 11057418 in words is "eleven million, fifty-seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2111 2619 4222 5238 6333 12666 18999 37998 56997 113994 204767 409534 614301 1228602 1842903 3685806 5528709 11057418