Search a number
-
+
1040716900 = 225210407169
BaseRepresentation
bin111110000010000…
…001010001100100
32200112021220012101
4332002001101210
54112410420100
6251134101444
734534643026
oct7602012144
92615256171
101040716900
11494504013
1225064a884
131377c5122
149c30a016
156157586a
hex3e081464

1040716900 has 18 divisors (see below), whose sum is σ = 2258355890. Its totient is φ = 416286720.

The previous prime is 1040716891. The next prime is 1040716907. The reversal of 1040716900 is 96170401.

It can be written as a sum of positive squares in 3 ways, for example, as 3748096 + 1036968804 = 1936^2 + 32202^2 .

It is a super-2 number, since 2×10407169002 = 2166183331891220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040716907) 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 5 ways as a sum of consecutive naturals, for example, 5203485 + ... + 5203684.

Almost surely, 21040716900 is an apocalyptic number.

1040716900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040716900 is an abundant number, since it is smaller than the sum of its proper divisors (1217638990).

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

1040716900 is a wasteful number, since it uses less digits than its factorization.

1040716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407183 (or 10407176 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1040716900 is about 32260.1441410295. The cubic root of 1040716900 is about 1013.3921497005.

The spelling of 1040716900 in words is "one billion, forty million, seven hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10407169 20814338 41628676 52035845 104071690 208143380 260179225 520358450 1040716900