Search a number
-
+
130666440 = 23352773931
BaseRepresentation
bin1111100100111…
…00111111001000
3100002212112122210
413302130333020
5231422311230
620544345120
73144434502
oct762347710
9302775583
10130666440
11678376a3
12379151a0
13210bcc28
14134d4d72
15b710eb0
hex7c9cfc8

130666440 has 64 divisors (see below), whose sum is σ = 393514560. Its totient is φ = 34709760.

The previous prime is 130666429. The next prime is 130666447. The reversal of 130666440 is 44666031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130666398 and 130666407.

It is not an unprimeable number, because it can be changed into a prime (130666447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31275 + ... + 35205.

It is an arithmetic number, because the mean of its divisors is an integer number (6148665).

Almost surely, 2130666440 is an apocalyptic number.

130666440 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 130666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196757280).

130666440 is an abundant number, since it is smaller than the sum of its proper divisors (262848120).

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

130666440 is a wasteful number, since it uses less digits than its factorization.

130666440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 130666440 is about 11430.9422183825. The cubic root of 130666440 is about 507.4438806477.

The spelling of 130666440 in words is "one hundred thirty million, six hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 2216 2770 3324 3931 4155 5540 6648 7862 8310 11080 11793 15724 16620 19655 23586 31448 33240 39310 47172 58965 78620 94344 117930 157240 235860 471720 1088887 2177774 3266661 4355548 5444435 6533322 8711096 10888870 13066644 16333305 21777740 26133288 32666610 43555480 65333220 130666440