Search a number
-
+
20810496 = 2837379
BaseRepresentation
bin100111101100…
…0101100000000
31110011021122010
41033120230000
520311413441
62022012520
7341613000
oct117305400
943137563
1020810496
1110824263
126b77140
134408305
142a9a000
151c61116
hex13d8b00

20810496 has 144 divisors (see below), whose sum is σ = 65408000. Its totient is φ = 5870592.

The previous prime is 20810483. The next prime is 20810501. The reversal of 20810496 is 69401802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263385 + ... + 263463.

Almost surely, 220810496 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 20810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704000).

20810496 is an abundant number, since it is smaller than the sum of its proper divisors (44597504).

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

20810496 is an frugal number, since it uses more digits than its factorization.

20810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20810496 is about 4561.8522553893. The cubic root of 20810496 is about 275.0600243631.

The spelling of 20810496 in words is "twenty million, eight hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 79 84 96 98 112 128 147 158 168 192 196 224 237 256 294 316 336 343 384 392 448 474 553 588 632 672 686 768 784 896 948 1029 1106 1176 1264 1344 1372 1568 1659 1792 1896 2058 2212 2352 2528 2688 2744 3136 3318 3792 3871 4116 4424 4704 5056 5376 5488 6272 6636 7584 7742 8232 8848 9408 10112 10976 11613 12544 13272 15168 15484 16464 17696 18816 20224 21952 23226 26544 27097 30336 30968 32928 35392 37632 43904 46452 53088 54194 60672 61936 65856 70784 81291 87808 92904 106176 108388 123872 131712 141568 162582 185808 212352 216776 247744 263424 325164 371616 424704 433552 495488 650328 743232 867104 990976 1300656 1486464 1734208 2601312 2972928 3468416 5202624 6936832 10405248 20810496