Search a number
-
+
20798624 = 2571123367
BaseRepresentation
bin100111101010…
…1110010100000
31110010200100102
41033111302200
520311023444
62021441532
7341533250
oct117256240
943120312
1020798624
1110816350
126b702a8
134402aa2
142a95960
151c5c84e
hex13d5ca0

20798624 has 96 divisors (see below), whose sum is σ = 53415936. Its totient is φ = 7729920.

The previous prime is 20798623. The next prime is 20798639. The reversal of 20798624 is 42689702.

It is not an unprimeable number, because it can be changed into a prime (20798623) 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, 56489 + ... + 56855.

It is an arithmetic number, because the mean of its divisors is an integer number (556416).

Almost surely, 220798624 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 20798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707968).

20798624 is an abundant number, since it is smaller than the sum of its proper divisors (32617312).

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

20798624 is a wasteful number, since it uses less digits than its factorization.

20798624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 20798624 is about 4560.5508439223. The cubic root of 20798624 is about 275.0077088748.

The spelling of 20798624 in words is "twenty million, seven hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 154 161 176 184 224 253 308 322 352 367 368 506 616 644 734 736 1012 1232 1288 1468 1771 2024 2464 2569 2576 2936 3542 4037 4048 5138 5152 5872 7084 8074 8096 8441 10276 11744 14168 16148 16882 20552 28259 28336 32296 33764 41104 56518 56672 59087 64592 67528 82208 92851 113036 118174 129184 135056 185702 226072 236348 270112 371404 452144 472696 649957 742808 904288 945392 1299914 1485616 1890784 2599828 2971232 5199656 10399312 20798624