[go: up one dir, main page]

Search a number
-
+
130626405 = 335741331
BaseRepresentation
bin1111100100100…
…11001101100101
3100002210111202000
413302103031211
5231420021110
620543435513
73144210000
oct762231545
9302714660
10130626405
116780a608
12378b5b99
13210a7940
14134c4537
15b7041c0
hex7c93365

130626405 has 160 divisors (see below), whose sum is σ = 301163520. Its totient is φ = 53343360.

The previous prime is 130626403. The next prime is 130626449. The reversal of 130626405 is 504626031.

130626405 is a `hidden beast` number, since 1 + 30 + 626 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 130626405 - 21 = 130626403 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130626401) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4213740 + ... + 4213770.

It is an arithmetic number, because the mean of its divisors is an integer number (1882272).

Almost surely, 2130626405 is an apocalyptic number.

130626405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130626405 is an abundant number, since it is smaller than the sum of its proper divisors (170537115).

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

130626405 is an equidigital number, since it uses as much as digits as its factorization.

130626405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130626405 is about 11429.1909162460. The cubic root of 130626405 is about 507.3920499687.

The spelling of 130626405 in words is "one hundred thirty million, six hundred twenty-six thousand, four hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 31 35 39 45 49 63 65 91 93 105 117 135 147 155 189 195 217 245 273 279 315 343 351 403 441 455 465 585 637 651 735 819 837 945 1029 1085 1209 1323 1365 1395 1519 1715 1755 1911 1953 2015 2205 2401 2457 2821 3087 3185 3255 3627 4095 4185 4459 4557 5145 5733 5859 6045 6615 7203 7595 8463 9261 9555 9765 10633 10881 12005 12285 13377 13671 14105 15435 17199 18135 19747 21609 22295 22785 25389 28665 29295 31213 31899 36015 40131 41013 42315 46305 53165 54405 59241 64827 66885 68355 74431 76167 85995 93639 95697 98735 108045 120393 126945 138229 156065 159495 177723 200655 205065 223293 280917 287091 296205 324135 372155 380835 414687 468195 478485 533169 601965 669879 691145 842751 888615 967603 1116465 1244061 1404585 1435455 2009637 2073435 2665845 2902809 3349395 3732183 4213755 4838015 6220305 8708427 10048185 14514045 18660915 26125281 43542135 130626405