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12315990 = 23517193141
BaseRepresentation
bin101110111110…
…110101010110
3212011201100210
4232332311112
511123102430
61115550250
7206453451
oct56766526
925151323
1012315990
116a52205
12415b386
132722a8b
1418c8498
1511342b0
hexbbed56

12315990 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2764800.

The previous prime is 12315967. The next prime is 12315991. The reversal of 12315990 is 9951321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300370 + ... + 300410.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 212315990 is an apocalyptic number.

12315990 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 12315990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12315990 is an abundant number, since it is smaller than the sum of its proper divisors (22520490).

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

12315990 is a wasteful number, since it uses less digits than its factorization.

12315990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 12315990 is about 3509.4144810780. The cubic root of 12315990 is about 230.9350091713.

The spelling of 12315990 in words is "twelve million, three hundred fifteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 31 34 38 41 51 57 62 82 85 93 95 102 114 123 155 170 186 190 205 246 255 285 310 323 410 465 510 527 570 589 615 646 697 779 930 969 1054 1178 1230 1271 1394 1558 1581 1615 1767 1938 2091 2337 2542 2635 2945 3162 3230 3485 3534 3813 3895 4182 4674 4845 5270 5890 6355 6970 7626 7790 7905 8835 9690 10013 10455 11685 12710 13243 15810 17670 19065 20026 20910 21607 23370 24149 26486 30039 38130 39729 43214 48298 50065 60078 64821 66215 72447 79458 100130 108035 120745 129642 132430 144894 150195 198645 216070 241490 300390 324105 362235 397290 410533 648210 724470 821066 1231599 2052665 2463198 4105330 6157995 12315990