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1370983680 = 283251131349
BaseRepresentation
bin101000110110111…
…1000110100000000
310112112202012001100
41101231320310000
510301432434210
6344012534400
745655111653
oct12155706400
93475665040
101370983680
11643980370
12323181400
1318b05c461
14d011b89a
15805625c0
hex51b78d00

1370983680 has 432 divisors, whose sum is σ = 5356915200. Its totient is φ = 320716800.

The previous prime is 1370983657. The next prime is 1370983693. The reversal of 1370983680 is 863890731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 3928146 + ... + 3928494.

Almost surely, 21370983680 is an apocalyptic number.

1370983680 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 1370983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678457600).

1370983680 is an abundant number, since it is smaller than the sum of its proper divisors (3985931520).

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

1370983680 is a wasteful number, since it uses less digits than its factorization.

1370983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

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

The square root of 1370983680 is about 37026.7967828706. The cubic root of 1370983680 is about 1110.9062965890.

The spelling of 1370983680 in words is "one billion, three hundred seventy million, nine hundred eighty-three thousand, six hundred eighty".