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109804680 = 23335293347
BaseRepresentation
bin1101000101101…
…11110010001000
321122121122201000
412202313302020
5211102222210
614521255000
72502216156
oct642676210
9248548630
10109804680
1156a88977
1230934460
13199974ab
14108243d6
15998eac0
hex68b7c88

109804680 has 128 divisors (see below), whose sum is σ = 368323200. Its totient is φ = 29097216.

The previous prime is 109804621. The next prime is 109804687. The reversal of 109804680 is 86408901.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109804687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316267 + ... + 316613.

It is an arithmetic number, because the mean of its divisors is an integer number (2877525).

Almost surely, 2109804680 is an apocalyptic number.

109804680 is a gapful number since it is divisible by the number (10) 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 109804680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184161600).

109804680 is an abundant number, since it is smaller than the sum of its proper divisors (258518520).

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

109804680 is a wasteful number, since it uses less digits than its factorization.

109804680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109804680 is about 10478.7728289147. The cubic root of 109804680 is about 478.8582237095.

The spelling of 109804680 in words is "one hundred nine million, eight hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 293 347 360 540 586 694 879 1041 1080 1172 1388 1465 1735 1758 2082 2344 2637 2776 2930 3123 3470 3516 4164 4395 5205 5274 5860 6246 6940 7032 7911 8328 8790 9369 10410 10548 11720 12492 13185 13880 15615 15822 17580 18738 20820 21096 24984 26370 31230 31644 35160 37476 39555 41640 46845 52740 62460 63288 74952 79110 93690 101671 105480 124920 158220 187380 203342 305013 316440 374760 406684 508355 610026 813368 915039 1016710 1220052 1525065 1830078 2033420 2440104 2745117 3050130 3660156 4066840 4575195 5490234 6100260 7320312 9150390 10980468 12200520 13725585 18300780 21960936 27451170 36601560 54902340 109804680