Search a number
-
+
20464976 = 2471959163
BaseRepresentation
bin100111000010…
…0010101010000
31102111201200002
41032010111100
520214334401
62010345132
7335643440
oct116042520
942451602
1020464976
1110608704
126a2b1a8
134316c6c
142a0a120
151be3a6b
hex1384550

20464976 has 80 divisors (see below), whose sum is σ = 48806400. Its totient is φ = 8118144.

The previous prime is 20464973. The next prime is 20464979. The reversal of 20464976 is 67946402.

It is an interprime number because it is at equal distance from previous prime (20464973) and next prime (20464979).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20464973) 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, 125471 + ... + 125633.

It is an arithmetic number, because the mean of its divisors is an integer number (610080).

Almost surely, 220464976 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 20464976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24403200).

20464976 is an abundant number, since it is smaller than the sum of its proper divisors (28341424).

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

20464976 is a wasteful number, since it uses less digits than its factorization.

20464976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 20464976 is about 4523.8231618842. The cubic root of 20464976 is about 273.5292322929.

The spelling of 20464976 in words is "twenty million, four hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 163 236 266 304 326 413 472 532 652 826 944 1064 1121 1141 1304 1652 2128 2242 2282 2608 3097 3304 4484 4564 6194 6608 7847 8968 9128 9617 12388 15694 17936 18256 19234 21679 24776 31388 38468 43358 49552 62776 67319 76936 86716 125552 134638 153872 173432 182723 269276 346864 365446 538552 730892 1077104 1279061 1461784 2558122 2923568 5116244 10232488 20464976