Search a number
-
+
109112832 = 2935877
BaseRepresentation
bin1101000000011…
…10111000000000
321121022111200000
412200032320000
5210413102312
614454400000
72463305133
oct640167000
9247274600
10109112832
11566560a4
1230660000
13197b460a
14106c421a
1598a4adc
hex680ee00

109112832 has 120 divisors (see below), whose sum is σ = 326942616. Its totient is φ = 36329472.

The previous prime is 109112831. The next prime is 109112867. The reversal of 109112832 is 238211901.

It is a super-2 number, since 2×1091128322 = 23811220214120448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 109112796 and 109112805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109112831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123978 + ... + 124854.

Almost surely, 2109112832 is an apocalyptic number.

109112832 is a gapful number since it is divisible by the number (12) 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 109112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163471308).

109112832 is an abundant number, since it is smaller than the sum of its proper divisors (217829784).

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

109112832 is an frugal number, since it uses more digits than its factorization.

109112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 109112832 is about 10445.7087839935. The cubic root of 109112832 is about 477.8503876346.

The spelling of 109112832 in words is "one hundred nine million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 877 972 1152 1296 1536 1728 1754 1944 2304 2592 2631 3456 3508 3888 4608 5184 5262 6912 7016 7776 7893 10368 10524 13824 14032 15552 15786 20736 21048 23679 28064 31104 31572 41472 42096 47358 56128 62208 63144 71037 84192 94716 112256 124416 126288 142074 168384 189432 213111 224512 252576 284148 336768 378864 426222 449024 505152 568296 673536 757728 852444 1010304 1136592 1347072 1515456 1704888 2020608 2273184 3030912 3409776 4041216 4546368 6061824 6819552 9092736 12123648 13639104 18185472 27278208 36370944 54556416 109112832