Search a number
-
+
20924928 = 293219239
BaseRepresentation
bin100111111010…
…0101000000000
31110101002121100
41033310220000
520324044203
62024254400
7342600423
oct117645000
943332540
1020924928
11108a2232
127011400
13444841b
142ac99ba
151c84ea3
hex13f4a00

20924928 has 120 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 6580224.

The previous prime is 20924903. The next prime is 20924941. The reversal of 20924928 is 82942902.

It is a super-2 number, since 2×209249282 = 875705223610368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20924892 and 20924901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87433 + ... + 87671.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 220924928 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 20924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

20924928 is an abundant number, since it is smaller than the sum of its proper divisors (42910272).

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

20924928 is a wasteful number, since it uses less digits than its factorization.

20924928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20924928 is about 4574.3773346763. The cubic root of 20924928 is about 275.5632664432.

The spelling of 20924928 in words is "twenty million, nine hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 239 256 288 304 342 384 456 478 512 576 608 684 717 768 912 956 1152 1216 1368 1434 1536 1824 1912 2151 2304 2432 2736 2868 3648 3824 4302 4541 4608 4864 5472 5736 7296 7648 8604 9082 9728 10944 11472 13623 14592 15296 17208 18164 21888 22944 27246 29184 30592 34416 36328 40869 43776 45888 54492 61184 68832 72656 81738 87552 91776 108984 122368 137664 145312 163476 183552 217968 275328 290624 326952 367104 435936 550656 581248 653904 871872 1101312 1162496 1307808 1743744 2324992 2615616 3487488 5231232 6974976 10462464 20924928