Search a number
-
+
109366884 = 2232113159151
BaseRepresentation
bin1101000010011…
…00111001100100
321121210102011100
412201030321210
5210444220014
614504040100
72465413614
oct641147144
9247712140
10109366884
1156809a60
1230763030
1319873143
141074ca44
159905009
hex684ce64

109366884 has 144 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 31320000.

The previous prime is 109366883. The next prime is 109366903. The reversal of 109366884 is 488663901.

109366884 = T32 + T33 + ... + T868.

It is a super-2 number, since 2×1093668842 = 23922230631738912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109366883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724209 + ... + 724359.

It is an arithmetic number, because the mean of its divisors is an integer number (2213120).

Almost surely, 2109366884 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 109366884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

109366884 is an abundant number, since it is smaller than the sum of its proper divisors (209322396).

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

109366884 is a wasteful number, since it uses less digits than its factorization.

109366884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 109366884 is about 10457.8623054619. The cubic root of 109366884 is about 478.2209665628.

The spelling of 109366884 in words is "one hundred nine million, three hundred sixty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 59 62 66 93 99 118 124 132 151 177 186 198 236 279 302 341 354 372 396 453 531 558 604 649 682 708 906 1023 1062 1116 1298 1359 1364 1661 1812 1829 1947 2046 2124 2596 2718 3069 3322 3658 3894 4092 4681 4983 5436 5487 5841 6138 6644 7316 7788 8909 9362 9966 10974 11682 12276 14043 14949 16461 17818 18724 19932 20119 21948 23364 26727 28086 29898 32922 35636 40238 42129 51491 53454 56172 59796 60357 65844 80181 80476 84258 97999 102982 106908 120714 154473 160362 168516 181071 195998 205964 241428 276179 293997 308946 320724 362142 391996 463419 552358 587994 617892 724284 828537 881991 926838 1104716 1175988 1657074 1763982 1853676 2485611 3037969 3314148 3527964 4971222 6075938 9113907 9942444 12151876 18227814 27341721 36455628 54683442 109366884