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11401056 = 2532311277
BaseRepresentation
bin101011011111…
…011101100000
3210110020022100
4223133131200
510404313211
61044210400
7165623142
oct53373540
923406270
1011401056
116487867
123999a00
1324924b4
14172ac92
151003156
hexadf760

11401056 has 72 divisors (see below), whose sum is σ = 33493824. Its totient is φ = 3674880.

The previous prime is 11401051. The next prime is 11401057. The reversal of 11401056 is 65010411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8290 + ... + 9566.

It is an arithmetic number, because the mean of its divisors is an integer number (465192).

Almost surely, 211401056 is an apocalyptic number.

11401056 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 11401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746912).

11401056 is an abundant number, since it is smaller than the sum of its proper divisors (22092768).

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

11401056 is a wasteful number, since it uses less digits than its factorization.

11401056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11401056 is about 3376.5449797093. The cubic root of 11401056 is about 225.0686605270.

Adding to 11401056 its reverse (65010411), we get a palindrome (76411467).

The spelling of 11401056 in words is "eleven million, four hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1277 1488 2232 2554 2976 3831 4464 5108 7662 8928 10216 11493 15324 20432 22986 30648 39587 40864 45972 61296 79174 91944 118761 122592 158348 183888 237522 316696 356283 367776 475044 633392 712566 950088 1266784 1425132 1900176 2850264 3800352 5700528 11401056