Search a number
-
+
110449980 = 22345292351
BaseRepresentation
bin1101001010101…
…01010100111100
321200211102220000
412211111110330
5211233344410
614543154300
72510544414
oct645252474
9250742800
10110449980
1157389783
1230ba5990
1319b62124
1410951644
159a6adc0
hex695553c

110449980 has 120 divisors (see below), whose sum is σ = 358585920. Its totient is φ = 28425600.

The previous prime is 110449973. The next prime is 110449987. The reversal of 110449980 is 89944011.

It is an interprime number because it is at equal distance from previous prime (110449973) and next prime (110449987).

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 (110449987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45805 + ... + 48155.

It is an arithmetic number, because the mean of its divisors is an integer number (2988216).

Almost surely, 2110449980 is an apocalyptic number.

110449980 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 110449980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179292960).

110449980 is an abundant number, since it is smaller than the sum of its proper divisors (248135940).

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

110449980 is a wasteful number, since it uses less digits than its factorization.

110449980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 110449980 is about 10509.5185427307. The cubic root of 110449980 is about 479.7944432343.

The spelling of 110449980 in words is "one hundred ten million, four hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2351 2610 3132 3915 4698 4702 5220 7053 7830 9396 9404 11745 11755 14106 15660 21159 23490 23510 28212 35265 42318 46980 47020 63477 68179 70530 84636 105795 126954 136358 141060 190431 204537 211590 253908 272716 317385 340895 380862 409074 423180 613611 634770 681790 761724 818148 952155 1022685 1227222 1269540 1363580 1840833 1904310 2045370 2454444 3068055 3681666 3808620 4090740 5522499 6136110 7363332 9204165 11044998 12272220 18408330 22089996 27612495 36816660 55224990 110449980