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130564440 = 23335532281
BaseRepresentation
bin1111100100001…
…00000101011000
3100002200100202000
413302010011120
5231411030230
620542241000
73143531226
oct762040530
9302610660
10130564440
1167777aa6
1237886160
1321085686
14134a9b16
15b6e0b60
hex7c84158

130564440 has 128 divisors (see below), whose sum is σ = 443620800. Its totient is φ = 34145280.

The previous prime is 130564439. The next prime is 130564501. The reversal of 130564440 is 44465031.

130564440 is a `hidden beast` number, since 13 + 0 + 5 + 644 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56100 + ... + 58380.

Almost surely, 2130564440 is an apocalyptic number.

130564440 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 130564440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221810400).

130564440 is an abundant number, since it is smaller than the sum of its proper divisors (313056360).

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

130564440 is a wasteful number, since it uses less digits than its factorization.

130564440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130564440 is about 11426.4797728784. The cubic root of 130564440 is about 507.3118070776.

The spelling of 130564440 in words is "one hundred thirty million, five hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2281 2385 2862 3180 3816 4562 4770 5724 6360 6843 7155 9124 9540 11405 11448 13686 14310 18248 19080 20529 22810 27372 28620 34215 41058 45620 54744 57240 61587 68430 82116 91240 102645 120893 123174 136860 164232 205290 241786 246348 273720 307935 362679 410580 483572 492696 604465 615870 725358 821160 967144 1088037 1208930 1231740 1450716 1813395 2176074 2417860 2463480 2901432 3264111 3626790 4352148 4835720 5440185 6528222 7253580 8704296 10880370 13056444 14507160 16320555 21760740 26112888 32641110 43521480 65282220 130564440