Search a number
-
+
109794048 = 2837131571
BaseRepresentation
bin1101000101101…
…01001100000000
321122121010010020
412202311030000
5211101402143
614521133440
72502143160
oct642651400
9248533106
10109794048
1156a80991
123092a280
13199926c0
14108205a0
15998b883
hex68b5300

109794048 has 144 divisors (see below), whose sum is σ = 359874816. Its totient is φ = 28938240.

The previous prime is 109794043. The next prime is 109794053. The reversal of 109794048 is 840497901.

It is an interprime number because it is at equal distance from previous prime (109794043) and next prime (109794053).

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 (109794043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69103 + ... + 70673.

Almost surely, 2109794048 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 109794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179937408).

109794048 is an abundant number, since it is smaller than the sum of its proper divisors (250080768).

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

109794048 is a wasteful number, since it uses less digits than its factorization.

109794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 109794048 is about 10478.2655053210. The cubic root of 109794048 is about 478.8427678262.

The spelling of 109794048 in words is "one hundred nine million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1571 1664 1792 2184 2496 2688 2912 3142 3328 4368 4713 4992 5376 5824 6284 8736 9426 9984 10997 11648 12568 17472 18852 20423 21994 23296 25136 32991 34944 37704 40846 43988 50272 61269 65982 69888 75408 81692 87976 100544 122538 131964 142961 150816 163384 175952 201088 245076 263928 285922 301632 326768 351904 402176 428883 490152 527856 571844 603264 653536 703808 857766 980304 1055712 1143688 1206528 1307072 1407616 1715532 1960608 2111424 2287376 2614144 2815232 3431064 3921216 4222848 4574752 5228288 6862128 7842432 8445696 9149504 13724256 15684864 18299008 27448512 36598016 54897024 109794048