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1307700240 = 243572112919
BaseRepresentation
bin100110111110001…
…1110110000010000
310101010200001111020
41031330132300100
510134232401430
6333432315440
744256161100
oct11574366020
93333601436
101307700240
11611187600
12305b42b80
1317ac02b32
14c5967200
1579c11b10
hex4df1ec10

1307700240 has 360 divisors, whose sum is σ = 5189042880. Its totient is φ = 271434240.

The previous prime is 1307700239. The next prime is 1307700271. The reversal of 1307700240 is 420077031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1307700240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422501 + ... + 1423419.

It is an arithmetic number, because the mean of its divisors is an integer number (14414008).

Almost surely, 21307700240 is an apocalyptic number.

1307700240 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 1307700240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594521440).

1307700240 is an abundant number, since it is smaller than the sum of its proper divisors (3881342640).

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

1307700240 is a wasteful number, since it uses less digits than its factorization.

1307700240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1307700240 is about 36162.1382111180. The cubic root of 1307700240 is about 1093.5435108860.

Adding to 1307700240 its reverse (420077031), we get a palindrome (1727777271).

The spelling of 1307700240 in words is "one billion, three hundred seven million, seven hundred thousand, two hundred forty".