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11830995 = 3351131257
BaseRepresentation
bin101101001000…
…011011010011
3211021002002000
4231020123103
511012042440
61101325043
7202363461
oct55103323
924232060
1011830995
116750890
123b66783
1325b30b7
1417dd831
15108a730
hexb486d3

11830995 has 64 divisors (see below), whose sum is σ = 23777280. Its totient is φ = 5529600.

The previous prime is 11830991. The next prime is 11831021. The reversal of 11830995 is 59903811.

It is a happy number.

11830995 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11830995 - 22 = 11830991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45907 + ... + 46163.

It is an arithmetic number, because the mean of its divisors is an integer number (371520).

Almost surely, 211830995 is an apocalyptic number.

11830995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11830995 is an abundant number, since it is smaller than the sum of its proper divisors (11946285).

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

11830995 is a wasteful number, since it uses less digits than its factorization.

11830995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 11830995 is about 3439.6213454391. The cubic root of 11830995 is about 227.8629716789.

It can be divided in two parts, 118 and 30995, that added together give a palindrome (31113).

The spelling of 11830995 in words is "eleven million, eight hundred thirty thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 257 279 297 341 465 495 771 837 1023 1285 1395 1485 1705 2313 2827 3069 3855 4185 5115 6939 7967 8481 9207 11565 14135 15345 23901 25443 34695 39835 42405 46035 71703 76329 87637 119505 127215 215109 262911 358515 381645 438185 788733 1075545 1314555 2366199 3943665 11830995