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1307470680 = 233351725971
BaseRepresentation
bin100110111101110…
…0110101101011000
310101010020101121000
41031323212231120
510134203030210
6333423345000
744254213605
oct11573465530
93333211530
101307470680
1161104008a
12305a52160
1317ab524b9
14c59076ac
1579bb8ac0
hex4dee6b58

1307470680 has 384 divisors, whose sum is σ = 4774464000. Its totient is φ = 318044160.

The previous prime is 1307470667. The next prime is 1307470687. The reversal of 1307470680 is 860747031.

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 (1307470687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18415045 + ... + 18415115.

It is an arithmetic number, because the mean of its divisors is an integer number (12433500).

Almost surely, 21307470680 is an apocalyptic number.

1307470680 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 1307470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387232000).

1307470680 is an abundant number, since it is smaller than the sum of its proper divisors (3466993320).

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

1307470680 is a wasteful number, since it uses less digits than its factorization.

1307470680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1307470680 is about 36158.9640338326. The cubic root of 1307470680 is about 1093.4795185094.

The spelling of 1307470680 in words is "one billion, three hundred seven million, four hundred seventy thousand, six hundred eighty".