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1670397120 = 26335771389
BaseRepresentation
bin110001110010000…
…0011110011000000
311022102010222002000
41203210003303000
511410110201440
6433430224000
756252066310
oct14344036300
94272128060
101670397120
11787994097
123a74b5000
132080b3282
1411bbbb440
159b9a7730
hex63903cc0

1670397120 has 448 divisors, whose sum is σ = 6847027200. Its totient is φ = 375459840.

The previous prime is 1670397109. The next prime is 1670397121. The reversal of 1670397120 is 217930761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670397121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4293886 + ... + 4294274.

Almost surely, 21670397120 is an apocalyptic number.

1670397120 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 1670397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423513600).

1670397120 is an abundant number, since it is smaller than the sum of its proper divisors (5176630080).

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

1670397120 is a wasteful number, since it uses less digits than its factorization.

1670397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1670397120 is about 40870.4920449950. The cubic root of 1670397120 is about 1186.5150306320.

The spelling of 1670397120 in words is "one billion, six hundred seventy million, three hundred ninety-seven thousand, one hundred twenty".