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103040880 = 2435716047
BaseRepresentation
bin1100010010001…
…00011101110000
321011220000111220
412021010131300
5202334302010
614120305040
72360555505
oct611043560
9234800456
10103040880
1153189158
122a612180
1318469947
14d9834ac
1590a5970
hex6244770

103040880 has 80 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 27086080.

The previous prime is 103040867. The next prime is 103040881. The reversal of 103040880 is 88040301.

It is a tau number, because it is divible by the number of its divisors (80).

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 103040880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103040881) 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 15 ways as a sum of consecutive naturals, for example, 14017 + ... + 20063.

Almost surely, 2103040880 is an apocalyptic number.

103040880 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 103040880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

103040880 is an abundant number, since it is smaller than the sum of its proper divisors (220938384).

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

103040880 is a wasteful number, since it uses less digits than its factorization.

103040880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 103040880 is about 10150.9053783394. The cubic root of 103040880 is about 468.8168217628.

The spelling of 103040880 in words is "one hundred three million, forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 6047 8520 12094 17040 18141 24188 30235 36282 48376 60470 72564 90705 96752 120940 145128 181410 241880 290256 362820 429337 483760 725640 858674 1288011 1451280 1717348 2146685 2576022 3434696 4293370 5152044 6440055 6869392 8586740 10304088 12880110 17173480 20608176 25760220 34346960 51520440 103040880