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11973330 = 2325173769
BaseRepresentation
bin101101101011…
…001011010010
3211112022022200
4231223023102
511031121310
61104344030
7203525445
oct55531322
924468280
1011973330
116838816
124015016
132632b15
14183965c
1510b79c0
hexb6b2d2

11973330 has 48 divisors (see below), whose sum is σ = 31351320. Its totient is φ = 3170304.

The previous prime is 11973329. The next prime is 11973349. The reversal of 11973330 is 3337911.

11973330 = 2782 + 2792 + ... + 3852.

It can be written as a sum of positive squares in 4 ways, for example, as 11068929 + 904401 = 3327^2 + 951^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11973294 and 11973303.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15186 + ... + 15954.

Almost surely, 211973330 is an apocalyptic number.

11973330 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 11973330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675660).

11973330 is an abundant number, since it is smaller than the sum of its proper divisors (19377990).

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

11973330 is a wasteful number, since it uses less digits than its factorization.

11973330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 11973330 is about 3460.2499909689. The cubic root of 11973330 is about 228.7731142101.

The spelling of 11973330 in words is "eleven million, nine hundred seventy-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 769 865 1038 1538 1557 1730 2307 2595 3114 3845 4614 5190 6921 7690 7785 11535 13842 15570 23070 34605 69210 133037 266074 399111 665185 798222 1197333 1330370 1995555 2394666 3991110 5986665 11973330