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1070404000 = 2553267601
BaseRepresentation
bin111111110011010…
…001000110100000
32202121011011020121
4333303101012200
54143010412000
6254114250024
735345166241
oct7763210640
92677134217
101070404000
114aa240406
1225a586914
131409ba863
14a2236cc8
1563e8bb1a
hex3fcd11a0

1070404000 has 48 divisors (see below), whose sum is σ = 2629992456. Its totient is φ = 428160000.

The previous prime is 1070403989. The next prime is 1070404009. The reversal of 1070404000 is 4040701.

It is a happy number.

1070404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50751376 + 1019652624 = 7124^2 + 31932^2 .

It is a super-2 number, since 2×10704040002 = 2291529446432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1070404009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129801 + ... + 137800.

Almost surely, 21070404000 is an apocalyptic number.

1070404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070404000 is an abundant number, since it is smaller than the sum of its proper divisors (1559588456).

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

1070404000 is an equidigital number, since it uses as much as digits as its factorization.

1070404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267626 (or 267608 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1070404000 is about 32717.0292049874. The cubic root of 1070404000 is about 1022.9378329504.

Adding to 1070404000 its reverse (4040701), we get a palindrome (1074444701).

The spelling of 1070404000 in words is "one billion, seventy million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 267601 535202 1070404 1338005 2140808 2676010 4281616 5352020 6690025 8563232 10704040 13380050 21408080 26760100 33450125 42816160 53520200 66900250 107040400 133800500 214080800 267601000 535202000 1070404000