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11772390 = 235761919
BaseRepresentation
bin101100111010…
…000111100110
3211011002200110
4230322013212
511003204030
61100153450
7202030560
oct54720746
924132613
1011772390
116710853
123b38886
132592516
1417c6330
1510781b0
hexb3a1e6

11772390 has 64 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 2643840.

The previous prime is 11772379. The next prime is 11772391. The reversal of 11772390 is 9327711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12351 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (513360).

Almost surely, 211772390 is an apocalyptic number.

11772390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427520).

11772390 is an abundant number, since it is smaller than the sum of its proper divisors (21082650).

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

11772390 is a wasteful number, since it uses less digits than its factorization.

11772390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 11772390 is about 3431.0916630134. The cubic root of 11772390 is about 227.4861079147.

The spelling of 11772390 in words is "eleven million, seven hundred seventy-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 919 1281 1830 1838 2135 2562 2757 4270 4595 5514 6405 6433 9190 12810 12866 13785 19299 27570 32165 38598 56059 64330 96495 112118 168177 192990 280295 336354 392413 560590 784826 840885 1177239 1681770 1962065 2354478 3924130 5886195 11772390