Search a number
-
+
20382432 = 25373619
BaseRepresentation
bin100110111000…
…0001011100000
31102100112102220
41031300023200
520204214212
62004511040
7335151000
oct115601340
942315386
1020382432
1110561694
1269ab480
1342b8515
1429c8000
151bc938c
hex13702e0

20382432 has 96 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 5814144.

The previous prime is 20382419. The next prime is 20382437. The reversal of 20382432 is 23428302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20382437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32619 + ... + 33237.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 220382432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

20382432 is an abundant number, since it is smaller than the sum of its proper divisors (42113568).

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

20382432 is an equidigital number, since it uses as much as digits as its factorization.

20382432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20382432 is about 4514.6906870792. The cubic root of 20382432 is about 273.1609832903.

The spelling of 20382432 in words is "twenty million, three hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 619 672 686 784 1029 1176 1238 1372 1568 1857 2058 2352 2476 2744 3714 4116 4333 4704 4952 5488 7428 8232 8666 9904 10976 12999 14856 16464 17332 19808 25998 29712 30331 32928 34664 51996 59424 60662 69328 90993 103992 121324 138656 181986 207984 212317 242648 363972 415968 424634 485296 636951 727944 849268 970592 1273902 1455888 1698536 2547804 2911776 3397072 5095608 6794144 10191216 20382432