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110304090 = 232513234099
BaseRepresentation
bin1101001001100…
…01101101011010
321200120000202200
412210301231122
5211214212330
614540111030
72506366161
oct644615532
9250500680
10110304090
115729a106
1230b35476
1319b108c0
14109143d8
159a3ca60
hex6931b5a

110304090 has 96 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 25964928.

The previous prime is 110304083. The next prime is 110304091. The reversal of 110304090 is 90403011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110304091) 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, 24861 + ... + 28959.

It is an arithmetic number, because the mean of its divisors is an integer number (3357900).

Almost surely, 2110304090 is an apocalyptic number.

110304090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110304090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

110304090 is an abundant number, since it is smaller than the sum of its proper divisors (212054310).

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

110304090 is a wasteful number, since it uses less digits than its factorization.

110304090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 110304090 is about 10502.5753984439. The cubic root of 110304090 is about 479.5831015542.

The spelling of 110304090 in words is "one hundred ten million, three hundred four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4099 4485 5382 8198 8970 12297 13455 20495 24594 26910 36891 40990 53287 61485 73782 94277 106574 122970 159861 184455 188554 266435 282831 319722 368910 471385 479583 532870 565662 799305 848493 942770 959166 1225601 1414155 1598610 1696986 2397915 2451202 2828310 3676803 4242465 4795830 6128005 7353606 8484930 11030409 12256010 18384015 22060818 36768030 55152045 110304090