Search a number
-
+
20910312 = 233423261
BaseRepresentation
bin100111111000…
…1000011101000
31110100100120000
41033301003220
520323112222
62024103000
7342510003
oct117610350
943310500
1020910312
1110892255
127004a60
134441887
142ac453a
151c809ac
hex13f10e8

20910312 has 120 divisors (see below), whose sum is σ = 62229090. Its totient is φ = 6557760.

The previous prime is 20910301. The next prime is 20910343. The reversal of 20910312 is 21301902.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 171396 = 4554^2 + 414^2 .

It is a super-2 number, since 2×209103122 = 874482295874688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 342762 + ... + 342822.

Almost surely, 220910312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20910312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31114545).

20910312 is an abundant number, since it is smaller than the sum of its proper divisors (41318778).

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

20910312 is a wasteful number, since it uses less digits than its factorization.

20910312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20910312 is about 4572.7794611155. The cubic root of 20910312 is about 275.4990914581.

The spelling of 20910312 in words is "twenty million, nine hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 61 69 72 81 92 108 122 138 162 183 184 207 216 244 276 324 366 414 488 529 549 552 621 648 732 828 1058 1098 1242 1403 1464 1587 1647 1656 1863 2116 2196 2484 2806 3174 3294 3726 4209 4232 4392 4761 4941 4968 5612 6348 6588 7452 8418 9522 9882 11224 12627 12696 13176 14283 14904 16836 19044 19764 25254 28566 32269 33672 37881 38088 39528 42849 50508 57132 64538 75762 85698 96807 101016 113643 114264 129076 151524 171396 193614 227286 258152 290421 303048 342792 387228 454572 580842 774456 871263 909144 1161684 1742526 2323368 2613789 3485052 5227578 6970104 10455156 20910312