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110714064 = 243171937193
BaseRepresentation
bin1101001100101…
…01110011010000
321201022212010220
412212111303100
5211320322224
614552553040
72513024346
oct646256320
9251285126
10110714064
115754a12a
12310b2780
1319c253a6
14109bd996
159abe279
hex6995cd0

110714064 has 160 divisors (see below), whose sum is σ = 329086080. Its totient is φ = 31850496.

The previous prime is 110714057. The next prime is 110714089. The reversal of 110714064 is 460417011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 573552 + ... + 573744.

It is an arithmetic number, because the mean of its divisors is an integer number (2056788).

Almost surely, 2110714064 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 110714064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164543040).

110714064 is an abundant number, since it is smaller than the sum of its proper divisors (218372016).

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

110714064 is a wasteful number, since it uses less digits than its factorization.

110714064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 110714064 is about 10522.0750805152. The cubic root of 110714064 is about 480.1765322900.

The spelling of 110714064 in words is "one hundred ten million, seven hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 37 38 48 51 57 68 74 76 102 111 114 136 148 152 193 204 222 228 272 296 304 323 386 408 444 456 579 592 629 646 703 772 816 888 912 969 1158 1258 1292 1406 1544 1776 1887 1938 2109 2316 2516 2584 2812 3088 3281 3667 3774 3876 4218 4632 5032 5168 5624 6562 7141 7334 7548 7752 8436 9264 9843 10064 11001 11248 11951 13124 14282 14668 15096 15504 16872 19686 21423 22002 23902 26248 28564 29336 30192 33744 35853 39372 42846 44004 47804 52496 57128 58672 62339 71706 78744 85692 88008 95608 114256 121397 124678 135679 143412 157488 171384 176016 187017 191216 242794 249356 271358 286824 342768 364191 374034 407037 485588 498712 542716 573648 728382 748068 814074 971176 997424 1085432 1456764 1496136 1628148 1942352 2170864 2306543 2913528 2992272 3256296 4613086 5827056 6512592 6919629 9226172 13839258 18452344 27678516 36904688 55357032 110714064