Search a number
-
+
108258216 = 2331133389
BaseRepresentation
bin1100111001111…
…10001110101000
321112201002100120
412130332032220
5210203230331
614424203240
72453115423
oct634761650
9245632316
10108258216
1156122000
1230309520
1319575621
14105409ba
159786796
hex673e3a8

108258216 has 64 divisors (see below), whose sum is σ = 297777600. Its totient is φ = 32795840.

The previous prime is 108258209. The next prime is 108258221. The reversal of 108258216 is 612852801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30250 + ... + 33638.

It is an arithmetic number, because the mean of its divisors is an integer number (4652775).

Almost surely, 2108258216 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 108258216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148888800).

108258216 is an abundant number, since it is smaller than the sum of its proper divisors (189519384).

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

108258216 is a wasteful number, since it uses less digits than its factorization.

108258216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 108258216 is about 10404.7208516135. The cubic root of 108258216 is about 476.5995434740.

The spelling of 108258216 in words is "one hundred eight million, two hundred fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3389 3993 5324 6778 7986 10167 10648 13556 15972 20334 27112 31944 37279 40668 74558 81336 111837 149116 223674 298232 410069 447348 820138 894696 1230207 1640276 2460414 3280552 4510759 4920828 9021518 9841656 13532277 18043036 27064554 36086072 54129108 108258216