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103840200 = 23325257689
BaseRepresentation
bin1100011000001…
…11100111001000
321020101121222100
412030013213020
5203040341300
614145353400
72400425052
oct614074710
9236347870
10103840200
1153684752
122a938860
1318689709
14db108d2
1591b2700
hex63079c8

103840200 has 72 divisors (see below), whose sum is σ = 348736050. Its totient is φ = 27690240.

The previous prime is 103840181. The next prime is 103840201. The reversal of 103840200 is 2048301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 57790404 + 46049796 = 7602^2 + 6786^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103840201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27045 + ... + 30644.

Almost surely, 2103840200 is an apocalyptic number.

103840200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103840200 is an abundant number, since it is smaller than the sum of its proper divisors (244895850).

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

103840200 is a wasteful number, since it uses less digits than its factorization.

103840200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57711 (or 57699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103840200 is about 10190.2011756393. The cubic root of 103840200 is about 470.0259529957.

Adding to 103840200 its reverse (2048301), we get a palindrome (105888501).

The spelling of 103840200 in words is "one hundred three million, eight hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 57689 115378 173067 230756 288445 346134 461512 519201 576890 692268 865335 1038402 1153780 1384536 1442225 1730670 2076804 2307560 2596005 2884450 3461340 4153608 4326675 5192010 5768900 6922680 8653350 10384020 11537800 12980025 17306700 20768040 25960050 34613400 51920100 103840200