Search a number
-
+
109849104 = 243217231951
BaseRepresentation
bin1101000110000…
…10101000010000
321122200220122100
412203002220100
5211110132404
614522240400
72502462531
oct643025020
9248626570
10109849104
1157009292
1230956100
13199b1791
1410836688
15999cd39
hex68c2a10

109849104 has 120 divisors (see below), whose sum is σ = 339835392. Its totient is φ = 32947200.

The previous prime is 109849063. The next prime is 109849153. The reversal of 109849104 is 401948901.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55329 + ... + 57279.

Almost surely, 2109849104 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 109849104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917696).

109849104 is an abundant number, since it is smaller than the sum of its proper divisors (229986288).

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

109849104 is a wasteful number, since it uses less digits than its factorization.

109849104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109849104 is about 10480.8923284232. The cubic root of 109849104 is about 478.9227926926.

The spelling of 109849104 in words is "one hundred nine million, eight hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 46 48 51 68 69 72 92 102 136 138 144 153 184 204 207 272 276 306 368 391 408 414 552 612 782 816 828 1104 1173 1224 1564 1656 1951 2346 2448 3128 3312 3519 3902 4692 5853 6256 7038 7804 9384 11706 14076 15608 17559 18768 23412 28152 31216 33167 35118 44873 46824 56304 66334 70236 89746 93648 99501 132668 134619 140472 179492 199002 265336 269238 280944 298503 358984 398004 403857 530672 538476 597006 717968 762841 796008 807714 1076952 1194012 1525682 1592016 1615428 2153904 2288523 2388024 3051364 3230856 4577046 4776048 6102728 6461712 6865569 9154092 12205456 13731138 18308184 27462276 36616368 54924552 109849104