Search a number
-
+
103053040 = 2451288163
BaseRepresentation
bin1100010010001…
…11011011110000
321011220122012021
412021013123300
5202340144130
614120441224
72360636116
oct611073360
9234818167
10103053040
1153197302
122a619214
131847233c
14d987ab6
1590a937a
hex62476f0

103053040 has 20 divisors (see below), whose sum is σ = 239598504. Its totient is φ = 41221184.

The previous prime is 103053023. The next prime is 103053047. The reversal of 103053040 is 40350301.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103053047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 644002 + ... + 644161.

Almost surely, 2103053040 is an apocalyptic number.

103053040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103053040 is an abundant number, since it is smaller than the sum of its proper divisors (136545464).

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

103053040 is a wasteful number, since it uses less digits than its factorization.

103053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288176 (or 1288170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 103053040 is about 10151.5043220205. The cubic root of 103053040 is about 468.8352629495.

The spelling of 103053040 in words is "one hundred three million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1288163 2576326 5152652 6440815 10305304 12881630 20610608 25763260 51526520 103053040