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109868400 = 2434523391
BaseRepresentation
bin1101000110001…
…11010101110000
321122201220010000
412203013111300
5211111242100
614522510000
72502603015
oct643072560
9248656100
10109868400
1157021834
1230965300
13199ba4b5
141083d70c
1599a3900
hex68c7570

109868400 has 150 divisors (see below), whose sum is σ = 394425152. Its totient is φ = 29289600.

The previous prime is 109868389. The next prime is 109868411. The reversal of 109868400 is 4868901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109868389) and next prime (109868411).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 30705 + ... + 34095.

Almost surely, 2109868400 is an apocalyptic number.

109868400 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 109868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197212576).

109868400 is an abundant number, since it is smaller than the sum of its proper divisors (284556752).

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

109868400 is a wasteful number, since it uses less digits than its factorization.

109868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109868400 is about 10481.8128203093. The cubic root of 109868400 is about 478.9508334407.

The spelling of 109868400 in words is "one hundred nine million, eight hundred sixty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3391 3600 4050 5400 6480 6782 8100 10173 10800 13564 16200 16955 20346 27128 30519 32400 33910 40692 50865 54256 61038 67820 81384 84775 91557 101730 122076 135640 152595 162768 169550 183114 203460 244152 254325 271280 274671 305190 339100 366228 406920 457785 488304 508650 549342 610380 678200 732456 762975 813840 915570 1017300 1098684 1220760 1356400 1373355 1464912 1525950 1831140 2034600 2197368 2288925 2441520 2746710 3051900 3662280 4069200 4394736 4577850 5493420 6103800 6866775 7324560 9155700 10986840 12207600 13733550 18311400 21973680 27467100 36622800 54934200 109868400