Search a number
-
+
11970560 = 21157167
BaseRepresentation
bin101101101010…
…100000000000
3211112011112002
4231222200000
511031024220
61104323132
7203514410
oct55524000
924464462
1011970560
116836728
1240134a8
132631794
141838640
1510b6c75
hexb6a800

11970560 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4079616.

The previous prime is 11970559. The next prime is 11970587. The reversal of 11970560 is 6507911.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71597 + ... + 71763.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 211970560 is an apocalyptic number.

11970560 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 11970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11970560 is an abundant number, since it is smaller than the sum of its proper divisors (21051520).

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

11970560 is an equidigital number, since it uses as much as digits as its factorization.

11970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 11970560 is about 3459.8497077185. The cubic root of 11970560 is about 228.7554708198.

The spelling of 11970560 in words is "eleven million, nine hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 167 224 256 280 320 334 448 512 560 640 668 835 896 1024 1120 1169 1280 1336 1670 1792 2048 2240 2338 2560 2672 3340 3584 4480 4676 5120 5344 5845 6680 7168 8960 9352 10240 10688 11690 13360 14336 17920 18704 21376 23380 26720 35840 37408 42752 46760 53440 71680 74816 85504 93520 106880 149632 171008 187040 213760 299264 342016 374080 427520 598528 748160 855040 1197056 1496320 1710080 2394112 2992640 5985280 11970560