Search a number
-
+
108233496 = 23347107223
BaseRepresentation
bin1100111001110…
…00001100011000
321112122211110000
412130320030120
5210201432441
614423453000
72452653360
oct634701430
9245584400
10108233496
1156105478
12302b7160
13195672b7
14105359a0
15977e2b6
hex6738318

108233496 has 160 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 30497472.

The previous prime is 108233479. The next prime is 108233497. The reversal of 108233496 is 694332801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 108233496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108233497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 485241 + ... + 485463.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2108233496 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 108233496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

108233496 is an abundant number, since it is smaller than the sum of its proper divisors (243034344).

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

108233496 is a wasteful number, since it uses less digits than its factorization.

108233496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 108233496 is about 10403.5328614851. The cubic root of 108233496 is about 476.5632646645.

The spelling of 108233496 in words is "one hundred eight million, two hundred thirty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 107 108 126 162 168 189 214 216 223 252 321 324 378 428 446 504 567 642 648 669 749 756 856 892 963 1134 1284 1338 1498 1512 1561 1784 1926 2007 2247 2268 2568 2676 2889 2996 3122 3852 4014 4494 4536 4683 5352 5778 5992 6021 6244 6741 7704 8028 8667 8988 9366 11556 12042 12488 13482 14049 16056 17334 17976 18063 18732 20223 23112 23861 24084 26964 28098 34668 36126 37464 40446 42147 47722 48168 53928 56196 60669 69336 71583 72252 80892 84294 95444 112392 121338 126441 143166 144504 161784 167027 168588 190888 214749 242676 252882 286332 334054 337176 429498 485352 501081 505764 572664 644247 668108 858996 1002162 1011528 1288494 1336216 1503243 1717992 1932741 2004324 2576988 3006486 3865482 4008648 4509729 5153976 6012972 7730964 9019458 12025944 13529187 15461928 18038916 27058374 36077832 54116748 108233496