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11315340 = 22325371699
BaseRepresentation
bin101011001010…
…100010001100
3210021212201200
4223022202030
510344042330
61042305500
7165115221
oct53124214
923255650
1011315340
116429423
123958290
13246248a
141707948
15ed7a60
hexaca88c

11315340 has 72 divisors (see below), whose sum is σ = 35271600. Its totient is φ = 2934144.

The previous prime is 11315327. The next prime is 11315347. The reversal of 11315340 is 4351311.

11315340 is a `hidden beast` number, since 1 + 131 + 534 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11315347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5811 + ... + 7509.

Almost surely, 211315340 is an apocalyptic number.

11315340 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 11315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635800).

11315340 is an abundant number, since it is smaller than the sum of its proper divisors (23956260).

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

11315340 is a wasteful number, since it uses less digits than its factorization.

11315340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11315340 is about 3363.8281763491. The cubic root of 11315340 is about 224.5032001700.

Adding to 11315340 its reverse (4351311), we get a palindrome (15666651).

The spelling of 11315340 in words is "eleven million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1699 2220 3330 3398 5097 6660 6796 8495 10194 15291 16990 20388 25485 30582 33980 50970 61164 62863 76455 101940 125726 152910 188589 251452 305820 314315 377178 565767 628630 754356 942945 1131534 1257260 1885890 2263068 2828835 3771780 5657670 11315340