Search a number
-
+
103553140 = 2255177657
BaseRepresentation
bin1100010110000…
…01100001110100
321012212001012111
412023001201310
5203002200030
614135300404
72365121125
oct613014164
9235761174
10103553140
11534a9009
122a81a704
13185b8b62
14da7804c
15915762a
hex62c1874

103553140 has 12 divisors (see below), whose sum is σ = 217461636. Its totient is φ = 41421248.

The previous prime is 103553101. The next prime is 103553147. The reversal of 103553140 is 41355301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 30758116 = 8532^2 + 5546^2 .

It is a super-3 number, since 3×1035531403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103553147) 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 3 ways as a sum of consecutive naturals, for example, 2588809 + ... + 2588848.

It is an arithmetic number, because the mean of its divisors is an integer number (18121803).

Almost surely, 2103553140 is an apocalyptic number.

103553140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103553140 is an abundant number, since it is smaller than the sum of its proper divisors (113908496).

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

103553140 is a wasteful number, since it uses less digits than its factorization.

103553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177666 (or 5177664 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 103553140 is about 10176.1063280608. The cubic root of 103553140 is about 469.5924337593.

The spelling of 103553140 in words is "one hundred three million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5177657 10355314 20710628 25888285 51776570 103553140