Search a number
-
+
106983604 = 227131931499
BaseRepresentation
bin1100110000001…
…11000010110100
321110022022220201
412120013002310
5204341433404
614341010244
72436226360
oct630070264
9243268821
10106983604
1155431402
122b9b3984
131921a410
14102cc2a0
1595d3ca4
hex66070b4

106983604 has 96 divisors (see below), whose sum is σ = 250880000. Its totient is φ = 38724480.

The previous prime is 106983593. The next prime is 106983619. The reversal of 106983604 is 406389601.

It is a super-2 number, since 2×1069836042 = 22890983049657632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214147 + ... + 214645.

Almost surely, 2106983604 is an apocalyptic number.

106983604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106983604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125440000).

106983604 is an abundant number, since it is smaller than the sum of its proper divisors (143896396).

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

106983604 is a wasteful number, since it uses less digits than its factorization.

106983604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 106983604 is about 10343.2878718520. The cubic root of 106983604 is about 474.7216895967.

The spelling of 106983604 in words is "one hundred six million, nine hundred eighty-three thousand, six hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 52 62 76 91 124 133 182 217 247 266 364 403 434 494 499 532 589 806 868 988 998 1178 1612 1729 1996 2356 2821 3458 3493 4123 5642 6487 6916 6986 7657 8246 9481 11284 12974 13972 15314 15469 16492 18962 25948 30628 30938 37924 45409 53599 61876 66367 90818 107198 108283 123253 132734 181636 201097 214396 216566 246506 265468 293911 402194 433132 493012 587822 804388 862771 1175644 1407679 1725542 2057377 2815358 3451084 3820843 4114754 5630716 7641686 8229508 15283372 26745901 53491802 106983604