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12083490 = 2325316171
BaseRepresentation
bin101110000110…
…000100100010
3211201220102200
4232012010202
511043132430
61110554030
7204464556
oct56060442
924656380
1012083490
116903561
124068916
132670cc3
141867866
1510da460
hexb86122

12083490 has 96 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3024000.

The previous prime is 12083443. The next prime is 12083509. The reversal of 12083490 is 9438021.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170155 + ... + 170225.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 212083490 is an apocalyptic number.

12083490 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 12083490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

12083490 is an abundant number, since it is smaller than the sum of its proper divisors (21342942).

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

12083490 is a wasteful number, since it uses less digits than its factorization.

12083490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12083490 is about 3476.1314704712. The cubic root of 12083490 is about 229.4725784943.

The spelling of 12083490 in words is "twelve million, eighty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 61 62 71 90 93 122 142 155 183 186 213 279 305 310 355 366 426 465 549 558 610 639 710 915 930 1065 1098 1278 1395 1830 1891 2130 2201 2745 2790 3195 3782 4331 4402 5490 5673 6390 6603 8662 9455 11005 11346 12993 13206 17019 18910 19809 21655 22010 25986 28365 33015 34038 38979 39618 43310 56730 64965 66030 77958 85095 99045 129930 134261 170190 194895 198090 268522 389790 402783 671305 805566 1208349 1342610 2013915 2416698 4027830 6041745 12083490