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1070254080 = 2113357279
BaseRepresentation
bin111111110010101…
…100100000000000
32202120212112121000
4333302230200000
54142441112310
6254111132000
735344003200
oct7762544000
92676775530
101070254080
114aa148805
1225a514000
1314096754c
14a21d8400
1563e5c4c0
hex3fcac800

1070254080 has 576 divisors, whose sum is σ = 4481568000. Its totient is φ = 241532928.

The previous prime is 1070254049. The next prime is 1070254099. The reversal of 1070254080 is 804520701.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10702540802 = 2290887591513292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13547481 + ... + 13547559.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 21070254080 is an apocalyptic number.

1070254080 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 1070254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784000).

1070254080 is an abundant number, since it is smaller than the sum of its proper divisors (3411313920).

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

1070254080 is an equidigital number, since it uses as much as digits as its factorization.

1070254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1070254080 is about 32714.7379631872. The cubic root of 1070254080 is about 1022.8900734128.

Adding to 1070254080 its reverse (804520701), we get a palindrome (1874774781).

The spelling of 1070254080 in words is "one billion, seventy million, two hundred fifty-four thousand, eighty".