[go: up one dir, main page]

Search a number
-
+
20058624 = 29331451
BaseRepresentation
bin100110010000…
…1001000000000
31101202002021000
41030201020000
520113333444
61553532000
7332331645
oct114411000
941662230
1020058624
1110360383
126874000
134204011
142941dcc
151b63469
hex1321200

20058624 has 80 divisors (see below), whose sum is σ = 59415840. Its totient is φ = 6681600.

The previous prime is 20058611. The next prime is 20058631. The reversal of 20058624 is 42685002.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13099 + ... + 14549.

It is an arithmetic number, because the mean of its divisors is an integer number (742698).

Almost surely, 220058624 is an apocalyptic number.

20058624 is a gapful number since it is divisible by the number (24) 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 20058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707920).

20058624 is an abundant number, since it is smaller than the sum of its proper divisors (39357216).

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

20058624 is an equidigital number, since it uses as much as digits as its factorization.

20058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20058624 is about 4478.6855214449. The cubic root of 20058624 is about 271.7067196435.

The spelling of 20058624 in words is "twenty million, fifty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1451 1536 1728 2304 2902 3456 4353 4608 5804 6912 8706 11608 13059 13824 17412 23216 26118 34824 39177 46432 52236 69648 78354 92864 104472 139296 156708 185728 208944 278592 313416 371456 417888 557184 626832 742912 835776 1114368 1253664 1671552 2228736 2507328 3343104 5014656 6686208 10029312 20058624