Search a number
-
+
130253640 = 233511101977
BaseRepresentation
bin1111100001110…
…00001101001000
3100002002120101220
413300320031020
5231321104030
620531442040
73141065136
oct760701510
9302076356
10130253640
1167585540
1237756320
1320ca707a
1413428756
15b67da10
hex7c38348

130253640 has 128 divisors (see below), whose sum is σ = 430945920. Its totient is φ = 31232000.

The previous prime is 130253639. The next prime is 130253663. The reversal of 130253640 is 46352031.

It is a happy number.

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 130253640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132832 + ... + 133808.

It is an arithmetic number, because the mean of its divisors is an integer number (3366765).

Almost surely, 2130253640 is an apocalyptic number.

130253640 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 130253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215472960).

130253640 is an abundant number, since it is smaller than the sum of its proper divisors (300692280).

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

130253640 is a wasteful number, since it uses less digits than its factorization.

130253640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 130253640 is about 11412.8716806946. The cubic root of 130253640 is about 506.9089465310.

The spelling of 130253640 in words is "one hundred thirty million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 977 1010 1111 1212 1320 1515 1954 2020 2222 2424 2931 3030 3333 3908 4040 4444 4885 5555 5862 6060 6666 7816 8888 9770 10747 11110 11724 12120 13332 14655 16665 19540 21494 22220 23448 26664 29310 32241 33330 39080 42988 44440 53735 58620 64482 66660 85976 98677 107470 117240 128964 133320 161205 197354 214940 257928 296031 322410 394708 429880 493385 592062 644820 789416 986770 1085447 1184124 1289640 1480155 1973540 2170894 2368248 2960310 3256341 3947080 4341788 5427235 5920620 6512682 8683576 10854470 11841240 13025364 16281705 21708940 26050728 32563410 43417880 65126820 130253640