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109356400 = 24521914389
BaseRepresentation
bin1101000010010…
…10010101110000
321121202212210001
412201022111300
5210443401100
614503515344
72465341216
oct641122560
9247685701
10109356400
115680209a
1230758b54
131986b43a
1410748cb6
159901d6a
hex684a570

109356400 has 60 divisors (see below), whose sum is σ = 276575800. Its totient is φ = 41437440.

The previous prime is 109356383. The next prime is 109356407. The reversal of 109356400 is 4653901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109356407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 14794.

Almost surely, 2109356400 is an apocalyptic number.

109356400 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 109356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138287900).

109356400 is an abundant number, since it is smaller than the sum of its proper divisors (167219400).

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

109356400 is a wasteful number, since it uses less digits than its factorization.

109356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426 (or 14415 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 109356400 is about 10457.3610437816. The cubic root of 109356400 is about 478.2056851886.

The spelling of 109356400 in words is "one hundred nine million, three hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 14389 28778 57556 71945 115112 143890 230224 273391 287780 359725 546782 575560 719450 1093564 1151120 1366955 1438900 2187128 2733910 2877800 4374256 5467820 5755600 6834775 10935640 13669550 21871280 27339100 54678200 109356400