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11797320 = 2335175783
BaseRepresentation
bin101101000000…
…001101001000
3211012100212210
4231000031020
511010003240
61100505120
7202163343
oct55001510
924170783
1011797320
116728557
123b4b1a0
1325a0982
1417d145a
151080780
hexb40348

11797320 has 64 divisors (see below), whose sum is σ = 37480320. Its totient is φ = 2960384.

The previous prime is 11797319. The next prime is 11797327. The reversal of 11797320 is 2379711.

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

It is not an unprimeable number, because it can be changed into a prime (11797327) 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, 852 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (585630).

Almost surely, 211797320 is an apocalyptic number.

11797320 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 11797320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740160).

11797320 is an abundant number, since it is smaller than the sum of its proper divisors (25683000).

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

11797320 is a wasteful number, since it uses less digits than its factorization.

11797320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814 (or 5810 counting only the distinct ones).

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

The square root of 11797320 is about 3434.7226962304. The cubic root of 11797320 is about 227.6465746259.

The spelling of 11797320 in words is "eleven million, seven hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 5783 11566 17349 23132 28915 34698 46264 57830 69396 86745 98311 115660 138792 173490 196622 231320 294933 346980 393244 491555 589866 693960 786488 983110 1179732 1474665 1966220 2359464 2949330 3932440 5898660 11797320