Search a number
-
+
103102240 = 2551314919
BaseRepresentation
bin1100010010100…
…11011100100000
321012000010200111
412021103130200
5202343232430
614121501104
72361232423
oct611233440
9235003614
10103102240
115322026a
122a641794
131848b857
14d99b9ba
1590b8c2a
hex6253720

103102240 has 48 divisors (see below), whose sum is σ = 245488320. Its totient is φ = 40917760.

The previous prime is 103102201. The next prime is 103102243. The reversal of 103102240 is 42201301.

It is a self number, because there is not a number n which added to its sum of digits gives 103102240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103102243) 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, 18501 + ... + 23419.

It is an arithmetic number, because the mean of its divisors is an integer number (5114340).

Almost surely, 2103102240 is an apocalyptic number.

103102240 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 103102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122744160).

103102240 is an abundant number, since it is smaller than the sum of its proper divisors (142386080).

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

103102240 is a wasteful number, since it uses less digits than its factorization.

103102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103102240 is about 10153.9273190229. The cubic root of 103102240 is about 468.9098621560.

Adding to 103102240 its reverse (42201301), we get a palindrome (145303541).

The spelling of 103102240 in words is "one hundred three million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 4919 5240 9838 10480 19676 20960 24595 39352 49190 78704 98380 157408 196760 393520 644389 787040 1288778 2577556 3221945 5155112 6443890 10310224 12887780 20620448 25775560 51551120 103102240