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109912000 = 2653111249
BaseRepresentation
bin1101000110100…
…01111111000000
321122211002220211
412203101333000
5211114141000
614523443504
72503144102
oct643217700
9248732824
10109912000
1157051570
1230986594
1319a042b3
1410851572
1599b17ba
hex68d1fc0

109912000 has 112 divisors (see below), whose sum is σ = 297180000. Its totient is φ = 39936000.

The previous prime is 109911947. The next prime is 109912007. The reversal of 109912000 is 219901.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109912007) 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 15 ways as a sum of consecutive naturals, for example, 87376 + ... + 88624.

Almost surely, 2109912000 is an apocalyptic number.

109912000 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 109912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148590000).

109912000 is an abundant number, since it is smaller than the sum of its proper divisors (187268000).

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

109912000 is a wasteful number, since it uses less digits than its factorization.

109912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 109912000 is about 10483.8924069260. The cubic root of 109912000 is about 479.0141804226.

The spelling of 109912000 in words is "one hundred nine million, nine hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1249 1375 1600 1760 2000 2200 2498 2750 3520 4000 4400 4996 5500 6245 8000 8800 9992 11000 12490 13739 17600 19984 22000 24980 27478 31225 39968 44000 49960 54956 62450 68695 79936 88000 99920 109912 124900 137390 156125 199840 219824 249800 274780 312250 343475 399680 439648 499600 549560 624500 686950 879296 999200 1099120 1249000 1373900 1717375 1998400 2198240 2498000 2747800 3434750 4396480 4996000 5495600 6869500 9992000 10991200 13739000 21982400 27478000 54956000 109912000