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1670425000 = 2355109613
BaseRepresentation
bin110001110010000…
…1010100110101000
311022102012101022121
41203210022212220
511410112100000
6433431001024
756252243506
oct14344124650
94272171277
101670425000
11787a03032
123a7509174
132080c2b7a
1411bbc7676
159b9b0b1a
hex6390a9a8

1670425000 has 96 divisors (see below), whose sum is σ = 3957168600. Its totient is φ = 660960000.

The previous prime is 1670424997. The next prime is 1670425007. The reversal of 1670425000 is 5240761.

It can be written as a sum of positive squares in 12 ways, for example, as 1198405924 + 472019076 = 34618^2 + 21726^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1670425007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724694 + ... + 2725306.

Almost surely, 21670425000 is an apocalyptic number.

1670425000 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 1670425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978584300).

1670425000 is an abundant number, since it is smaller than the sum of its proper divisors (2286743600).

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

1670425000 is an equidigital number, since it uses as much as digits as its factorization.

1670425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1670425000 is about 40870.8331209434. The cubic root of 1670425000 is about 1186.5216318277.

Adding to 1670425000 its reverse (5240761), we get a palindrome (1675665761).

It can be divided in two parts, 167042 and 5000, that multiplied together give a 4-th power (835210000 = 1704).

The spelling of 1670425000 in words is "one billion, six hundred seventy million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 613 625 872 1000 1090 1226 1250 2180 2452 2500 2725 3065 3125 4360 4904 5000 5450 6130 6250 10900 12260 12500 13625 15325 21800 24520 25000 27250 30650 54500 61300 66817 68125 76625 109000 122600 133634 136250 153250 267268 272500 306500 334085 340625 383125 534536 545000 613000 668170 681250 766250 1336340 1362500 1532500 1670425 1915625 2672680 2725000 3065000 3340850 3831250 6681700 7662500 8352125 13363400 15325000 16704250 33408500 41760625 66817000 83521250 167042500 208803125 334085000 417606250 835212500 1670425000