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11363814 = 234711911
BaseRepresentation
bin101011010110…
…010111100110
3210101100020000
4223112113212
510402120224
61043322130
7165406440
oct53262746
923340200
1011363814
116461890
123980346
13247b567
14171b490
15ee70c9
hexad65e6

11363814 has 80 divisors (see below), whose sum is σ = 31781376. Its totient is φ = 2948400.

The previous prime is 11363809. The next prime is 11363819. The reversal of 11363814 is 41836311.

11363814 is a `hidden beast` number, since 1 + 13 + 638 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (11363809) and next prime (11363819).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11363819) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12019 + ... + 12929.

Almost surely, 211363814 is an apocalyptic number.

11363814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11363814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890688).

11363814 is an abundant number, since it is smaller than the sum of its proper divisors (20417562).

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

11363814 is a wasteful number, since it uses less digits than its factorization.

11363814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11363814 is about 3371.0256599439. The cubic root of 11363814 is about 224.8233279785.

It can be divided in two parts, 1136 and 3814, that added together give a triangular number (4950 = T99).

The spelling of 11363814 in words is "eleven million, three hundred sixty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 911 1134 1386 1782 1822 2079 2733 4158 5466 6237 6377 8199 10021 12474 12754 16398 19131 20042 24597 30063 38262 49194 57393 60126 70147 73791 90189 114786 140294 147582 172179 180378 210441 270567 344358 420882 516537 541134 631323 811701 1033074 1262646 1623402 1893969 3787938 5681907 11363814