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103690000 = 245410369
BaseRepresentation
bin1100010111000…
…10111100010000
321020002222221101
412023202330100
5203021040000
614142234144
72366231131
oct613427420
9236088841
10103690000
1153591917
122a885954
131863623b
14dab1c88
159182e6a
hex62e2f10

103690000 has 50 divisors (see below), whose sum is σ = 251068070. Its totient is φ = 41472000.

The previous prime is 103689983. The next prime is 103690001. The reversal of 103690000 is 96301.

It can be written as a sum of positive squares in 5 ways, for example, as 68690944 + 34999056 = 8288^2 + 5916^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1036900002 = 21503232200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103690000.

It is not an unprimeable number, because it can be changed into a prime (103690001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4816 + ... + 15184.

Almost surely, 2103690000 is an apocalyptic number.

103690000 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 103690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125534035).

103690000 is an abundant number, since it is smaller than the sum of its proper divisors (147378070).

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

103690000 is an equidigital number, since it uses as much as digits as its factorization.

103690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10397 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 103690000 is about 10182.8286836222. The cubic root of 103690000 is about 469.7992201107.

The spelling of 103690000 in words is "one hundred three million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10369 20738 41476 51845 82952 103690 165904 207380 259225 414760 518450 829520 1036900 1296125 2073800 2592250 4147600 5184500 6480625 10369000 12961250 20738000 25922500 51845000 103690000