Search a number
-
+
103361640 = 2335861347
BaseRepresentation
bin1100010100100…
…10110001101000
321012111022111220
412022102301220
5202430033030
614131222040
72363362614
oct612226150
9235438456
10103361640
1153388148
122a747920
131854c945
14da28344
15911aa10
hex6292c68

103361640 has 32 divisors (see below), whose sum is σ = 310085280. Its totient is φ = 27563072.

The previous prime is 103361623. The next prime is 103361641. The reversal of 103361640 is 46163301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103361640.

It is not an unprimeable number, because it can be changed into a prime (103361641) 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 7 ways as a sum of consecutive naturals, for example, 430554 + ... + 430793.

It is an arithmetic number, because the mean of its divisors is an integer number (9690165).

Almost surely, 2103361640 is an apocalyptic number.

103361640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103361640 is an abundant number, since it is smaller than the sum of its proper divisors (206723640).

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

103361640 is a wasteful number, since it uses less digits than its factorization.

103361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861361 (or 861357 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 103361640 is about 10166.6926775624. The cubic root of 103361640 is about 469.3027839498.

The spelling of 103361640 in words is "one hundred three million, three hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 861347 1722694 2584041 3445388 4306735 5168082 6890776 8613470 10336164 12920205 17226940 20672328 25840410 34453880 51680820 103361640