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11341400 = 235278101
BaseRepresentation
bin101011010000…
…111001011000
3210100012110212
4223100321120
510400411100
61043030252
7165254210
oct53207130
923305425
1011341400
116446a64
12396b388
1324712b5
141713240
15ee0635
hexad0e58

11341400 has 48 divisors (see below), whose sum is σ = 30139440. Its totient is φ = 3888000.

The previous prime is 11341387. The next prime is 11341403. The reversal of 11341400 is 414311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2651 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (627905).

Almost surely, 211341400 is an apocalyptic number.

11341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11341400 is an abundant number, since it is smaller than the sum of its proper divisors (18798040).

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

11341400 is a wasteful number, since it uses less digits than its factorization.

11341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8115 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11341400 is about 3367.6995115360. The cubic root of 11341400 is about 224.6754167576.

Adding to 11341400 its reverse (414311), we get a palindrome (11755711).

It can be divided in two parts, 1134 and 1400, that multiplied together give a square (1587600 = 12602).

The spelling of 11341400 in words is "eleven million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8101 16202 32404 40505 56707 64808 81010 113414 162020 202525 226828 283535 324040 405050 453656 567070 810100 1134140 1417675 1620200 2268280 2835350 5670700 11341400