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1970293248 = 2934711617
BaseRepresentation
bin111010101110000…
…0100101000000000
312002022110021020000
41311130010220000
513013343340443
6523302120000
766553134120
oct16534045000
95068407200
101970293248
119211a7530
1246ba20000
132552759c1
14149964c80
15b7e958d3
hex75704a00

1970293248 has 400 divisors, whose sum is σ = 7343797824. Its totient is φ = 510935040.

The previous prime is 1970293243. The next prime is 1970293271. The reversal of 1970293248 is 8423920791.

It is a super-2 number, since 2×19702932482 = 7764110966228779008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1970293243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193036 + ... + 3193652.

Almost surely, 21970293248 is an apocalyptic number.

1970293248 is a gapful number since it is divisible by the number (18) 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 1970293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671898912).

1970293248 is an abundant number, since it is smaller than the sum of its proper divisors (5373504576).

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

1970293248 is an equidigital number, since it uses as much as digits as its factorization.

1970293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1970293248 is about 44387.9854014575. The cubic root of 1970293248 is about 1253.6518802003.

The spelling of 1970293248 in words is "one billion, nine hundred seventy million, two hundred ninety-three thousand, two hundred forty-eight".