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11499940 = 2251953571
BaseRepresentation
bin101011110111…
…100110100100
3210122020221201
4223313212210
510420444230
61050252244
7166514344
oct53674644
923566851
1011499940
116545091
123a27084
1324c84ca
141754d24
1510225ca
hexaf79a4

11499940 has 48 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 4268160.

The previous prime is 11499937. The next prime is 11499949. The reversal of 11499940 is 4999411.

11499940 = T152 + T153 + ... + T416.

It is a self number, because there is not a number n which added to its sum of digits gives 11499940.

It is not an unprimeable number, because it can be changed into a prime (11499949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19855 + ... + 20425.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 211499940 is an apocalyptic number.

11499940 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 11499940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

11499940 is an abundant number, since it is smaller than the sum of its proper divisors (14445980).

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

11499940 is a wasteful number, since it uses less digits than its factorization.

11499940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 11499940 is about 3391.1561450337. The cubic root of 11499940 is about 225.7174792202.

It can be divided in two parts, 1 and 1499940, that added together give a palindrome (1499941).

The spelling of 11499940 in words is "eleven million, four hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 571 1007 1060 1142 2014 2284 2855 4028 5035 5710 10070 10849 11420 20140 21698 30263 43396 54245 60526 108490 121052 151315 216980 302630 574997 605260 1149994 2299988 2874985 5749970 11499940