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12053790 = 2325719253
BaseRepresentation
bin101101111110…
…110100011110
3211200101200200
4231332310132
511041210130
61110204330
7204312150
oct55766436
924611620
1012053790
116893211
1240536a6
132660628
14185aad0
1510d1760
hexb7ed1e

12053790 has 144 divisors (see below), whose sum is σ = 38514528. Its totient is φ = 2560896.

The previous prime is 12053779. The next prime is 12053801. The reversal of 12053790 is 9735021.

12053790 is a `hidden beast` number, since 120 + 537 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12053779) and next prime (12053801).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227404 + ... + 227456.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 212053790 is an apocalyptic number.

12053790 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 12053790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257264).

12053790 is an abundant number, since it is smaller than the sum of its proper divisors (26460738).

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

12053790 is a wasteful number, since it uses less digits than its factorization.

12053790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 12053790 is about 3471.8568518878. The cubic root of 12053790 is about 229.2844174298.

The spelling of 12053790 in words is "twelve million, fifty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 53 57 63 70 90 95 105 106 114 126 133 159 171 190 210 265 266 285 315 318 342 361 371 399 477 530 570 630 665 722 742 795 798 855 954 1007 1083 1113 1197 1330 1590 1710 1805 1855 1995 2014 2166 2226 2385 2394 2527 3021 3249 3339 3610 3710 3990 4770 5035 5054 5415 5565 5985 6042 6498 6678 7049 7581 9063 10070 10830 11130 11970 12635 14098 15105 15162 16245 16695 18126 19133 21147 22743 25270 30210 32490 33390 35245 37905 38266 42294 45315 45486 57399 63441 70490 75810 90630 95665 105735 113715 114798 126882 133931 172197 191330 211470 227430 267862 286995 317205 344394 401793 573990 634410 669655 803586 860985 1205379 1339310 1721970 2008965 2410758 4017930 6026895 12053790