Search a number
-
+
20645408 = 257374753
BaseRepresentation
bin100111011000…
…0011000100000
31102211220011202
41032300120200
520241123113
62014300332
7340324460
oct116603040
942756152
1020645408
1110721223
126ab76a8
13437b124
142a55ba0
151c2c258
hex13b0620

20645408 has 96 divisors (see below), whose sum is σ = 49641984. Its totient is φ = 8266752.

The previous prime is 20645407. The next prime is 20645413. The reversal of 20645408 is 80454602.

It is not an unprimeable number, because it can be changed into a prime (20645407) 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, 389510 + ... + 389562.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 220645408 is an apocalyptic number.

20645408 is a gapful number since it is divisible by the number (28) 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 20645408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

20645408 is an abundant number, since it is smaller than the sum of its proper divisors (28996576).

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

20645408 is a wasteful number, since it uses less digits than its factorization.

20645408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 20645408 is about 4543.7218224711. The cubic root of 20645408 is about 274.3307494670.

The spelling of 20645408 in words is "twenty million, six hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 47 53 56 74 94 106 112 148 188 212 224 259 296 329 371 376 424 518 592 658 742 752 848 1036 1184 1316 1484 1504 1696 1739 1961 2072 2491 2632 2968 3478 3922 4144 4982 5264 5936 6956 7844 8288 9964 10528 11872 12173 13727 13912 15688 17437 19928 24346 27454 27824 31376 34874 39856 48692 54908 55648 62752 69748 79712 92167 97384 109816 139496 184334 194768 219632 278992 368668 389536 439264 557984 645169 737336 1290338 1474672 2580676 2949344 5161352 10322704 20645408