Search a number
-
+
20024130 = 2357177179
BaseRepresentation
bin100110001100…
…0101101000010
31101200022221110
41030120231002
520111233010
61553104150
7332126250
oct114305502
941608843
1020024130
1110337475
126858056
1341c13c9
1429335d0
151b58120
hex1318b42

20024130 has 128 divisors (see below), whose sum is σ = 59719680. Its totient is φ = 4193280.

The previous prime is 20024129. The next prime is 20024131. The reversal of 20024130 is 3142002.

It is an interprime number because it is at equal distance from previous prime (20024129) and next prime (20024131).

It is not an unprimeable number, because it can be changed into a prime (20024131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253431 + ... + 253509.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 220024130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20024130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859840).

20024130 is an abundant number, since it is smaller than the sum of its proper divisors (39695550).

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

20024130 is a wasteful number, since it uses less digits than its factorization.

20024130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20024130 is about 4474.8329577762. The cubic root of 20024130 is about 271.5508826149.

Adding to 20024130 its reverse (3142002), we get a palindrome (23166132).

The spelling of 20024130 in words is "twenty million, twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 71 79 85 102 105 119 142 158 170 210 213 237 238 255 355 357 395 426 474 497 510 553 595 710 714 790 994 1065 1106 1185 1190 1207 1343 1491 1659 1785 2130 2370 2414 2485 2686 2765 2982 3318 3570 3621 4029 4970 5530 5609 6035 6715 7242 7455 8058 8295 8449 9401 11218 12070 13430 14910 16590 16827 16898 18105 18802 20145 25347 28045 28203 33654 36210 39263 40290 42245 47005 50694 56090 56406 78526 84135 84490 94010 95353 117789 126735 141015 168270 190706 196315 235578 253470 282030 286059 392630 476765 572118 588945 667471 953530 1177890 1334942 1430295 2002413 2860590 3337355 4004826 6674710 10012065 20024130