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11117340 = 22325134751
BaseRepresentation
bin101010011010…
…001100011100
3202220211010100
4222122030130
510321223330
61034141100
7163332033
oct52321434
922824110
1011117340
116303693
123881790
1323c3310
14169571a
15e99060
hexa9a31c

11117340 has 72 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 2736000.

The previous prime is 11117329. The next prime is 11117363. The reversal of 11117340 is 4371111.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 211117340 is an apocalyptic number.

11117340 is a gapful number since it is divisible by the number (10) 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 11117340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

11117340 is an abundant number, since it is smaller than the sum of its proper divisors (25206948).

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

11117340 is a wasteful number, since it uses less digits than its factorization.

11117340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11117340 is about 3334.2675357565. The cubic root of 11117340 is about 223.1860071391.

Adding to 11117340 its reverse (4371111), we get a palindrome (15488451).

The spelling of 11117340 in words is "eleven million, one hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4751 9502 14253 19004 23755 28506 42759 47510 57012 61763 71265 85518 95020 123526 142530 171036 185289 213795 247052 285060 308815 370578 427590 555867 617630 741156 855180 926445 1111734 1235260 1852890 2223468 2779335 3705780 5558670 11117340