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1370062080 = 28335291367
BaseRepresentation
bin101000110101001…
…0111110100000000
310112111000100212000
41101222113310000
510301213441310
6343541104000
745644223042
oct12152276400
93474010760
101370062080
11643400a12
123229b8000
1318aac8b2a
14cdd5ba92
158042e4c0
hex51a97d00

1370062080 has 288 divisors, whose sum is σ = 5033145600. Its totient is φ = 352493568.

The previous prime is 1370062073. The next prime is 1370062097. The reversal of 1370062080 is 802600731.

1370062080 is a `hidden beast` number, since 1 + 37 + 0 + 0 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1001557 + ... + 1002923.

It is an arithmetic number, because the mean of its divisors is an integer number (17476200).

Almost surely, 21370062080 is an apocalyptic number.

1370062080 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 1370062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516572800).

1370062080 is an abundant number, since it is smaller than the sum of its proper divisors (3663083520).

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

1370062080 is a wasteful number, since it uses less digits than its factorization.

1370062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1370062080 is about 37014.3496498318. The cubic root of 1370062080 is about 1110.6573170298.

The spelling of 1370062080 in words is "one billion, three hundred seventy million, sixty-two thousand, eighty".