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12052890 = 2325157853
BaseRepresentation
bin101101111110…
…100110011010
3211200100110100
4231332212122
511041143030
61110200230
7204306423
oct55764632
924610410
1012052890
116892573
124053076
1326600b5
14185a64a
1510d1360
hexb7e99a

12052890 has 48 divisors (see below), whose sum is σ = 31574088. Its totient is φ = 3189888.

The previous prime is 12052883. The next prime is 12052903. The reversal of 12052890 is 9825021.

It can be written as a sum of positive squares in 4 ways, for example, as 5349969 + 6702921 = 2313^2 + 2589^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13704 + ... + 14556.

Almost surely, 212052890 is an apocalyptic number.

12052890 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 12052890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787044).

12052890 is an abundant number, since it is smaller than the sum of its proper divisors (19521198).

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

12052890 is a wasteful number, since it uses less digits than its factorization.

12052890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12052890 is about 3471.7272358295. The cubic root of 12052890 is about 229.2787107569.

It can be divided in two parts, 1205 and 2890, that added together give a triangular number (4095 = T90).

The spelling of 12052890 in words is "twelve million, fifty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 853 942 1413 1570 1706 2355 2559 2826 4265 4710 5118 7065 7677 8530 12795 14130 15354 25590 38385 76770 133921 267842 401763 669605 803526 1205289 1339210 2008815 2410578 4017630 6026445 12052890