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1004225040 = 243457132131
BaseRepresentation
bin111011110110110…
…100001000010000
32120222121220210000
4323312310020100
54024040200130
6243352010000
733612525540
oct7366641020
92528556700
101004225040
1147594a155
12240390900
13130089300
149752b320
155d268260
hex3bdb4210

1004225040 has 600 divisors, whose sum is σ = 4349239488. Its totient is φ = 210263040.

The previous prime is 1004225039. The next prime is 1004225041. The reversal of 1004225040 is 405224001.

It is an interprime number because it is at equal distance from previous prime (1004225039) and next prime (1004225041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1004225041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7665775 + ... + 7665905.

Almost surely, 21004225040 is an apocalyptic number.

1004225040 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 1004225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174619744).

1004225040 is an abundant number, since it is smaller than the sum of its proper divisors (3345014448).

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

1004225040 is a wasteful number, since it uses less digits than its factorization.

1004225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1004225040 is about 31689.5099362549. The cubic root of 1004225040 is about 1001.4063678689.

Adding to 1004225040 its reverse (405224001), we get a palindrome (1409449041).

The spelling of 1004225040 in words is "one billion, four million, two hundred twenty-five thousand, forty".