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11401032 = 233372347
BaseRepresentation
bin101011011111…
…011101001000
3210110020021110
4223133131020
510404313112
61044210320
7165623106
oct53373510
923406243
1011401032
116487845
1239999a0
132492496
14172ac76
15100313c
hexadf748

11401032 has 48 divisors (see below), whose sum is σ = 29378160. Its totient is φ = 3686976.

The previous prime is 11401001. The next prime is 11401037. The reversal of 11401032 is 23010411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11400999 and 11401017.

It is not an unprimeable number, because it can be changed into a prime (11401037) 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, 32683 + ... + 33029.

It is an arithmetic number, because the mean of its divisors is an integer number (612045).

Almost surely, 211401032 is an apocalyptic number.

11401032 is a gapful number since it is divisible by the number (12) 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 11401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689080).

11401032 is an abundant number, since it is smaller than the sum of its proper divisors (17977128).

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

11401032 is a wasteful number, since it uses less digits than its factorization.

11401032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11401032 is about 3376.5414257788. The cubic root of 11401032 is about 225.0685025986.

Adding to 11401032 its reverse (23010411), we get a palindrome (34411443).

The spelling of 11401032 in words is "eleven million, four hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 347 444 694 888 1041 1369 1388 2082 2738 2776 4107 4164 5476 8214 8328 10952 12839 16428 25678 32856 38517 51356 77034 102712 154068 308136 475043 950086 1425129 1900172 2850258 3800344 5700516 11401032