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109074966 = 237112132127
BaseRepresentation
bin1101000000001…
…01101000010110
321121020120201120
412200011220112
5210410344331
614453504410
72463056550
oct640055026
9247216646
10109074966
115662a700
1230642106
13197a0300
14106b44d0
159898796
hex6805a16

109074966 has 144 divisors (see below), whose sum is σ = 299077632. Its totient is φ = 25945920.

The previous prime is 109074937. The next prime is 109074967. The reversal of 109074966 is 669470901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109074967) 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, 858795 + ... + 858921.

It is an arithmetic number, because the mean of its divisors is an integer number (2076928).

Almost surely, 2109074966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109074966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149538816).

109074966 is an abundant number, since it is smaller than the sum of its proper divisors (190002666).

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

109074966 is a wasteful number, since it uses less digits than its factorization.

109074966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 109074966 is about 10443.8961120838. The cubic root of 109074966 is about 477.7951042612.

The spelling of 109074966 in words is "one hundred nine million, seventy-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 127 143 154 169 182 231 242 254 273 286 338 363 381 429 462 507 546 726 762 847 858 889 1001 1014 1183 1397 1573 1651 1694 1778 1859 2002 2366 2541 2667 2794 3003 3146 3302 3549 3718 4191 4719 4953 5082 5334 5577 6006 7098 8382 9438 9779 9906 11011 11154 11557 13013 15367 18161 19558 20449 21463 22022 23114 26026 29337 30734 33033 34671 36322 39039 40898 42926 46101 54483 58674 61347 64389 66066 69342 78078 92202 107569 108966 122694 127127 128778 143143 150241 199771 215138 236093 254254 286286 300482 322707 381381 399542 429429 450723 472186 599313 645414 708279 762762 858858 901446 1198626 1398397 1416558 1652651 2597023 2796794 3305302 4195191 4957953 5194046 7791069 8390382 9915906 15582138 18179161 36358322 54537483 109074966