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109642806 = 232713219271
BaseRepresentation
bin1101000100100…
…00010000110110
321122022102122200
412202100100312
5211032032211
614514005330
72500643220
oct642202066
9248272580
10109642806
1156988299
1230876846
131993b900
14107c1410
15995bb56
hex6890436

109642806 has 144 divisors (see below), whose sum is σ = 310602240. Its totient is φ = 27293760.

The previous prime is 109642801. The next prime is 109642807. The reversal of 109642806 is 608246901.

109642806 is a `hidden beast` number, since 1 + 0 + 9 + 642 + 8 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109642801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404451 + ... + 404721.

It is an arithmetic number, because the mean of its divisors is an integer number (2156960).

Almost surely, 2109642806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109642806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155301120).

109642806 is an abundant number, since it is smaller than the sum of its proper divisors (200959434).

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

109642806 is a wasteful number, since it uses less digits than its factorization.

109642806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109642806 is about 10471.0460795472. The cubic root of 109642806 is about 478.6227971380.

The spelling of 109642806 in words is "one hundred nine million, six hundred forty-two thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 169 171 182 234 247 266 271 273 338 342 399 494 507 542 546 741 798 813 819 1014 1183 1197 1482 1521 1626 1638 1729 1897 2223 2366 2394 2439 3042 3211 3458 3523 3549 3794 4446 4878 5149 5187 5691 6422 7046 7098 9633 10298 10374 10569 10647 11382 15447 15561 17073 19266 21138 21294 22477 24661 28899 30894 31122 31707 34146 36043 44954 45799 46341 49322 57798 63414 66937 67431 72086 73983 91598 92682 108129 133874 134862 137397 147966 200811 202293 216258 221949 274794 320593 324387 401622 404586 412191 443898 468559 602433 641186 648774 824382 870181 937118 961779 1204866 1405677 1740362 1923558 2610543 2811354 2885337 4217031 5221086 5770674 6091267 7831629 8434062 12182534 15663258 18273801 36547602 54821403 109642806