Search a number
-
+
1010040000 = 2635419443
BaseRepresentation
bin111100001100111…
…111110011000000
32121101120100101220
4330030333303000
54032032240000
6244120355040
734013125014
oct7414776300
92541510356
101010040000
11479161002
12242315a80
13131344008
1498202544
155da161a0
hex3c33fcc0

1010040000 has 280 divisors, whose sum is σ = 3523122240. Its totient is φ = 254592000.

The previous prime is 1010039983. The next prime is 1010040001. The reversal of 1010040000 is 400101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1010040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2279779 + ... + 2280221.

Almost surely, 21010040000 is an apocalyptic number.

1010040000 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 1010040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761561120).

1010040000 is an abundant number, since it is smaller than the sum of its proper divisors (2513082240).

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

1010040000 is an equidigital number, since it uses as much as digits as its factorization.

1010040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1010040000 is about 31781.1264746862. The cubic root of 1010040000 is about 1003.3355285459.

Adding to 1010040000 its reverse (400101), we get a palindrome (1010440101).

The spelling of 1010040000 in words is "one billion, ten million, forty thousand".