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110413320 = 23353167443
BaseRepresentation
bin1101001010011…
…00011000001000
321200202120121020
412211030120020
5211231211240
614542312440
72510332503
oct645143010
9250676536
10110413320
1157364186
1230b88720
1319b4b534
141094213a
159a600d0
hex694c608

110413320 has 128 divisors (see below), whose sum is σ = 347811840. Its totient is φ = 28005120.

The previous prime is 110413297. The next prime is 110413337. The reversal of 110413320 is 23314011.

It is a super-2 number, since 2×1104133202 = 24382202466844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110413320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249019 + ... + 249461.

It is an arithmetic number, because the mean of its divisors is an integer number (2717280).

Almost surely, 2110413320 is an apocalyptic number.

110413320 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 110413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173905920).

110413320 is an abundant number, since it is smaller than the sum of its proper divisors (237398520).

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

110413320 is a wasteful number, since it uses less digits than its factorization.

110413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 110413320 is about 10507.7742648003. The cubic root of 110413320 is about 479.7413537100.

Adding to 110413320 its reverse (23314011), we get a palindrome (133727331).

The spelling of 110413320 in words is "one hundred ten million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 443 465 536 620 670 744 804 886 930 1005 1240 1329 1340 1608 1772 1860 2010 2077 2215 2658 2680 3544 3720 4020 4154 4430 5316 6231 6645 8040 8308 8860 10385 10632 12462 13290 13733 16616 17720 20770 24924 26580 27466 29681 31155 41199 41540 49848 53160 54932 59362 62310 68665 82398 83080 89043 109864 118724 124620 137330 148405 164796 178086 205995 237448 249240 274660 296810 329592 356172 411990 445215 549320 593620 712344 823980 890430 920111 1187240 1647960 1780860 1840222 2760333 3561720 3680444 4600555 5520666 7360888 9201110 11041332 13801665 18402220 22082664 27603330 36804440 55206660 110413320