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130888440 = 23335177129
BaseRepresentation
bin1111100110100…
…11001011111000
3100010021211012000
413303103023320
5232001412230
620553221000
73146350644
oct763231370
9303254160
10130888440
1167979471
1237a01760
1321169ca7
1413551c24
15b756b60
hex7cd32f8

130888440 has 128 divisors (see below), whose sum is σ = 462024000. Its totient is φ = 32845824.

The previous prime is 130888409. The next prime is 130888447. The reversal of 130888440 is 44888031.

130888440 is a `hidden beast` number, since 130 + 8 + 88 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130888395 and 130888404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130888447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14796 + ... + 21924.

Almost surely, 2130888440 is an apocalyptic number.

130888440 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 130888440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231012000).

130888440 is an abundant number, since it is smaller than the sum of its proper divisors (331135560).

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

130888440 is a wasteful number, since it uses less digits than its factorization.

130888440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 130888440 is about 11440.6485830131. The cubic root of 130888440 is about 507.7310974812.

It can be divided in two parts, 130888 and 440, that added together give a triangular number (131328 = T512).

The spelling of 130888440 in words is "one hundred thirty million, eight hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 7129 9180 14258 18360 21387 28516 35645 42774 57032 64161 71290 85548 106935 121193 128322 142580 171096 192483 213870 242386 256644 285160 320805 363579 384966 427740 484772 513288 605965 641610 727158 769932 855480 962415 969544 1090737 1211930 1283220 1454316 1539864 1817895 1924830 2181474 2423860 2566440 2908632 3272211 3635790 3849660 4362948 4847720 5453685 6544422 7271580 7699320 8725896 10907370 13088844 14543160 16361055 21814740 26177688 32722110 43629480 65444220 130888440