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11960320 = 215573
BaseRepresentation
bin101101101000…
…000000000000
3211111122110211
4231220000000
511030212240
61104203504
7203442511
oct55500000
924448424
1011960320
116829a69
124009594
132629c18
141834a08
1510b3bea
hexb68000

11960320 has 64 divisors (see below), whose sum is σ = 29097540. Its totient is φ = 4718592.

The previous prime is 11960309. The next prime is 11960339. The reversal of 11960320 is 2306911.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 16384 = 3456^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11960291 and 11960300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163804 + ... + 163876.

Almost surely, 211960320 is an apocalyptic number.

11960320 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 11960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548770).

11960320 is an abundant number, since it is smaller than the sum of its proper divisors (17137220).

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

11960320 is an frugal number, since it uses more digits than its factorization.

11960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 11960320 is about 3458.3695580432. The cubic root of 11960320 is about 228.6902239621.

The spelling of 11960320 in words is "eleven million, nine hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 730 1024 1168 1280 1460 2048 2336 2560 2920 4096 4672 5120 5840 8192 9344 10240 11680 16384 18688 20480 23360 32768 37376 40960 46720 74752 81920 93440 149504 163840 186880 299008 373760 598016 747520 1196032 1495040 2392064 2990080 5980160 11960320