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11990280 = 2335163613
BaseRepresentation
bin101101101111…
…010100001000
3211120011120110
4231233110020
511032142110
61104554320
7203626041
oct55572410
924504513
1011990280
11684a525
1240229a0
13263a753
1418418c8
1510bca20
hexb6f508

11990280 has 64 divisors (see below), whose sum is σ = 36250560. Its totient is φ = 3172608.

The previous prime is 11990261. The next prime is 11990281. The reversal of 11990280 is 8209911.

11990280 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 a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (11990281) 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, 19254 + ... + 19866.

It is an arithmetic number, because the mean of its divisors is an integer number (566415).

Almost surely, 211990280 is an apocalyptic number.

11990280 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 11990280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125280).

11990280 is an abundant number, since it is smaller than the sum of its proper divisors (24260280).

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

11990280 is a wasteful number, since it uses less digits than its factorization.

11990280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 11990280 is about 3462.6983697689. The cubic root of 11990280 is about 228.8810172441.

The spelling of 11990280 in words is "eleven million, nine hundred ninety thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 613 652 815 978 1226 1304 1630 1839 1956 2445 2452 3065 3260 3678 3912 4890 4904 6130 6520 7356 9195 9780 12260 14712 18390 19560 24520 36780 73560 99919 199838 299757 399676 499595 599514 799352 999190 1199028 1498785 1998380 2398056 2997570 3996760 5995140 11990280