Search a number
-
+
20464704 = 263313911
BaseRepresentation
bin100111000010…
…0010001000000
31102111201022000
41032010101000
520214332304
62010344000
7335642601
oct116042100
942451260
1020464704
1110608487
126a2b000
134316ac0
142a09da8
151be3939
hex1384440

20464704 has 112 divisors (see below), whose sum is σ = 64861440. Its totient is φ = 6289920.

The previous prime is 20464669. The next prime is 20464711. The reversal of 20464704 is 40746402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22009 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 220464704 is an apocalyptic number.

20464704 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 20464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32430720).

20464704 is an abundant number, since it is smaller than the sum of its proper divisors (44396736).

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

20464704 is a wasteful number, since it uses less digits than its factorization.

20464704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 20464704 is about 4523.7930987170. The cubic root of 20464704 is about 273.5280204618.

The spelling of 20464704 in words is "twenty million, four hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 911 936 1248 1404 1728 1822 1872 2496 2733 2808 3644 3744 5466 5616 7288 7488 8199 10932 11232 11843 14576 16398 21864 22464 23686 24597 29152 32796 35529 43728 47372 49194 58304 65592 71058 87456 94744 98388 106587 131184 142116 174912 189488 196776 213174 262368 284232 319761 378976 393552 426348 524736 568464 639522 757952 787104 852696 1136928 1279044 1574208 1705392 2273856 2558088 3410784 5116176 6821568 10232352 20464704