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1011000004 = 227433592339
BaseRepresentation
bin111100010000101…
…010001011000100
32121110101010021121
4330100222023010
54032304000004
6244153123324
734024233610
oct7420521304
92543333247
101011000004
114797572a3
122426b9544
131315bbc71
14983b2340
155db55854
hex3c42a2c4

1011000004 has 48 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 421850016.

The previous prime is 1010999971. The next prime is 1011000007. The reversal of 1011000004 is 4000001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1011000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431067 + ... + 433405.

It is an arithmetic number, because the mean of its divisors is an integer number (43243200).

Almost surely, 21011000004 is an apocalyptic number.

1011000004 is a gapful number since it is divisible by the number (14) 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 1011000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

1011000004 is an abundant number, since it is smaller than the sum of its proper divisors (1064673596).

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

1011000004 is a wasteful number, since it uses less digits than its factorization.

1011000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1011000004 is about 31796.2262540698. The cubic root of 1011000004 is about 1003.6533051087.

Adding to 1011000004 its reverse (4000001101), we get a palindrome (5011001105).

The spelling of 1011000004 in words is "one billion, eleven million, four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 43 86 172 301 359 602 718 1204 1436 2339 2513 4678 5026 9356 10052 15437 16373 30874 32746 61748 65492 100577 108059 201154 216118 402308 432236 704039 839701 1408078 1679402 2816156 3358804 5877907 11755814 23511628 36107143 72214286 144428572 252750001 505500002 1011000004