Search a number
-
+
130714440 = 23351377951
BaseRepresentation
bin1111100101010…
…00101101001000
3100002221222111120
413302220231020
5231430330230
620545355240
73145024443
oct762505510
9302858446
10130714440
116786a76a
1237938b20
1321108a2c
141350865a
15b720310
hex7ca8b48

130714440 has 64 divisors (see below), whose sum is σ = 395055360. Its totient is φ = 34598400.

The previous prime is 130714429. The next prime is 130714469. The reversal of 130714440 is 44417031.

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 130714440.

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 15 ways as a sum of consecutive naturals, for example, 12465 + ... + 20415.

It is an arithmetic number, because the mean of its divisors is an integer number (6172740).

Almost surely, 2130714440 is an apocalyptic number.

130714440 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 130714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197527680).

130714440 is an abundant number, since it is smaller than the sum of its proper divisors (264340920).

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

130714440 is a wasteful number, since it uses less digits than its factorization.

130714440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 130714440 is about 11433.0415900582. The cubic root of 130714440 is about 507.5060091340.

The spelling of 130714440 in words is "one hundred thirty million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 7951 8220 15902 16440 23853 31804 39755 47706 63608 79510 95412 119265 159020 190824 238530 318040 477060 954120 1089287 2178574 3267861 4357148 5446435 6535722 8714296 10892870 13071444 16339305 21785740 26142888 32678610 43571480 65357220 130714440